Lights Out Classic:

	Total	1	25	300	2,300	12,650	53,130	176,176	476,104	982,335	1,596,279	1,935,294	1,684,446	1,004,934	383,670	82,614	7,350	8,388,608
		Buttons
		0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	Total
L i g h t s	0	1																1
	1												5					5
	2					8				10	14	18	20		2			72
	3		4	8	4	4	12	10	16	44	64	164	158	70	10	8		576
	4		12	16	24	24	68	100	164	159	500	854	668	373	160	32	12	3,166
	5		9	36	84	148	291	500	808	1,328	2,114	2,728	2,791	1,676	620	184	9	13,326
	6			30	136	324	672	1,482	2,706	4,668	7,360	9,658	9,004	5,558	2,000	548	110	44,256
	7			44	194	560	1,384	3,220	6,794	13,196	21,348	27,108	23,948	14,226	6,110	1,698	114	119,944
	8			88	376	1,147	2,884	6,806	15,348	30,486	49,032	60,090	54,180	33,334	13,392	2,932	436	270,531
	9			68	448	1,800	5,164	12,636	28,694	57,600	94,103	117,112	102,084	60,520	24,677	5,976	437	511,319
	10			10	312	1,920	6,976	19,464	46,096	91,996	153,820	189,106	161,908	98,400	37,776	8,104	864	816,752
	11				230	1,740	7,876	25,282	62,960	129,108	210,836	256,592	225,234	132,364	49,096	11,306	880	1,113,504
	12				276	1,812	7,940	27,162	72,848	155,728	249,624	299,298	261,332	153,752	57,872	12,044	1,164	1,300,852
	13				184	1,492	7,273	25,672	72,154	155,936	251,294	302,636	258,644	153,912	59,153	11,408	1,094	1,300,852
	14				32	796	5,464	21,560	61,568	131,404	215,184	259,788	223,984	132,652	49,472	10,912	688	1,113,504
	15					396	3,332	15,158	44,832	96,536	157,692	188,636	165,428	99,620	36,984	7,406	732	816,752
	16					311	2,044	8,834	27,440	61,002	97,396	117,958	104,628	62,006	23,928	5,496	276	511,319
	17					152	1,100	4,796	14,358	31,652	51,744	62,728	53,879	33,852	13,408	2,468	394	270,531
	18					16	408	2,286	6,716	14,206	22,626	27,134	24,396	14,880	5,858	1,370	48	119,944
	19						144	836	2,650	5,196	8,316	9,960	8,808	5,582	2,270	414	80	44,256
	20						76	278	716	1,564	2,504	2,920	2,648	1,720	656	244		13,326
	21						22	76	186	412	560	676	601	392	180	52	9	3,166
	22							16	50	80	132	118	88	42	36	12	2	576
	23							2		20	16	12	10	2	10			72
	24									4				1				5
	25																1	1

In Sloane's On-Line Encyclopedia of Integer Sequences these are included as sequences A079873 and A079874.

Lights Out 2000:

	Total:	1	25	325	2,900	19,850	110,630	520,948	2,125,078	7,644,164	24,561,916	71,147,752	186,876,765	446,015,084	964,537,892	1,872,111,656	3,203,446,007	4,709,112,417	5,767,439,109	5,710,406,148	4,433,675,458	2,590,026,921	1,073,252,214	279,734,731	36,143,633	2,147,985	31,381,059,608
		Buttons
		0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23	24	Total
L i g h t s	0	1																									1
	1																				1						1
	2															4		6	1	2		4					17
	3		4														4		24	40	22	14					108
	4		12		8	20		8			6	16	16	4	20	44	44	114	112	145	80	65	34	6			754
	5		9		12	20		20	52	8	18	80	68	100	104	190	343	534	788	733	500	324	121	44	10		4,078
	6			10	24	72	8	76	168	60	152	315	214	432	774	1,138	1,628	2,434	3,531	3,534	2,562	1,388	536	148	52	6	19,262
	7			48	40	116	144	176	482	380	540	1,164	1,292	1,946	2,998	5,038	7,716	10,434	13,228	13,536	10,346	6,000	2,248	564	100	12	78,548
	8			114	48	234	488	456	1,124	1,409	1,944	3,524	4,900	7,004	11,718	17,436	28,228	39,618	48,014	48,543	35,966	21,327	8,368	2,336	310	6	283,115
	9			108	84	324	900	816	2,368	4,016	5,428	9,996	15,208	22,832	38,404	58,644	90,540	128,105	157,245	156,336	117,216	66,410	27,414	7,294	1,347	32	911,067
	10			45	148	596	1,520	1,990	4,672	9,540	13,196	25,816	41,644	64,960	108,200	174,452	269,200	378,381	457,366	452,515	343,029	195,318	80,158	21,566	3,040	307	2,647,659
	11				430	798	2,424	4,376	8,762	18,730	30,642	57,984	103,668	168,772	285,800	462,654	722,094	1,010,028	1,217,638	1,194,076	913,032	523,780	213,832	58,444	7,928	540	7,006,432
	12				774	1,009	3,424	9,063	16,148	35,246	64,557	121,628	227,418	396,787	678,528	1,128,796	1,756,635	2,483,600	2,975,452	2,913,951	2,222,231	1,272,226	524,380	142,189	22,288	1,240	16,997,570
	13				806	1,144	4,715	14,240	25,756	61,891	127,211	238,422	462,526	843,700	1,488,189	2,516,196	3,953,583	5,592,359	6,699,803	6,539,085	5,012,389	2,878,844	1,188,473	315,846	44,324	3,816	38,013,318
	14				452	1,552	6,646	20,517	42,374	100,494	226,922	439,032	875,292	1,659,543	2,998,252	5,171,799	8,230,497	11,654,645	13,985,694	13,612,933	10,421,804	6,007,026	2,481,611	681,887	89,472	5,778	78,714,222
	15				74	2,772	8,178	26,812	65,792	157,820	367,270	757,414	1,552,534	3,043,358	5,623,236	9,849,244	15,855,202	22,558,596	27,088,808	26,365,886	20,171,838	11,654,334	4,822,692	1,317,382	188,722	11,288	151,489,252
	16					4,039	9,250	33,242	98,820	232,516	562,136	1,225,172	2,567,216	5,201,290	9,853,515	17,511,132	28,437,088	40,620,258	48,884,806	47,562,716	36,428,155	21,067,964	8,776,099	2,357,851	332,899	26,778	271,792,942
	17					4,007	9,379	39,076	132,076	319,820	809,726	1,869,377	4,013,686	8,297,036	16,111,679	29,074,278	47,645,269	68,303,779	82,362,365	80,267,739	61,477,831	35,607,231	14,840,695	4,030,972	542,269	36,064	455,794,354
	18					2,464	10,276	45,927	160,102	423,570	1,097,083	2,672,794	5,897,330	12,475,496	24,691,688	45,187,320	74,693,640	107,566,115	129,821,652	126,831,073	97,236,288	56,418,901	23,463,461	6,331,686	892,386	55,194	715,974,446
	19					628	13,176	49,058	180,330	529,988	1,417,220	3,572,174	8,180,256	17,632,934	35,588,720	65,921,498	109,785,130	158,805,134	192,097,052	187,883,510	144,346,648	83,752,064	34,940,110	9,331,840	1,301,718	94,940	1,055,424,128
	20					55	15,366	49,380	191,458	636,360	1,731,092	4,500,303	10,686,842	23,523,762	48,267,104	90,481,461	151,686,272	220,132,390	266,876,454	261,556,779	201,212,641	116,928,773	48,716,933	13,084,192	1,775,427	112,078	1,462,165,122
	21						13,743	45,286	194,388	708,254	1,999,248	5,368,450	13,170,390	29,622,710	61,663,098	116,885,639	197,135,261	287,115,618	348,694,364	342,562,116	263,972,834	153,572,851	63,862,215	17,044,116	2,334,812	146,573	1,906,111,966
	22						8,253	42,315	193,754	730,101	2,196,630	6,042,802	15,361,060	35,215,356	74,340,297	142,232,284	241,245,339	352,524,911	429,105,725	422,225,183	326,117,852	189,878,886	79,030,480	20,899,931	2,828,131	190,644	2,340,409,934
	23						2,444	42,636	179,600	706,722	2,281,688	6,474,744	16,852,748	39,590,570	84,587,276	163,205,088	278,228,094	407,820,078	497,625,326	490,611,686	379,523,484	221,239,968	91,947,126	24,301,148	3,227,898	196,916	2,708,645,240
	24						292	40,490	159,598	645,836	2,264,200	6,573,959	17,508,576	41,994,943	90,918,533	176,750,138	302,668,774	444,816,915	543,959,567	537,310,886	416,479,094	243,029,714	100,905,047	26,485,547	3,509,526	215,316	2,956,236,951
	25						4	31,620	131,004	564,958	2,115,964	6,341,426	17,209,052	42,114,204	92,299,777	180,630,509	310,663,367	457,592,640	560,790,172	555,038,278	430,918,398	251,803,438	104,345,622	27,261,921	3,547,033	219,248	3,043,618,635
	26							17,544	106,112	481,450	1,848,893	5,820,664	16,017,922	39,968,866	88,470,555	174,301,065	300,720,487	444,062,784	545,274,397	540,785,717	420,502,819	245,968,142	101,863,217	26,440,715	3,390,670	194,932	2,956,236,951
	27							5,188	87,748	384,696	1,532,966	5,029,222	14,193,328	35,798,484	80,177,458	158,670,226	274,663,438	406,270,532	500,063,818	496,925,898	387,139,176	226,523,842	93,799,366	24,156,058	3,050,420	173,376	2,708,645,240
	28							628	68,322	298,786	1,191,272	4,157,379	11,885,420	30,368,222	68,519,196	136,356,208	236,566,158	350,616,840	432,199,270	430,611,967	335,876,388	196,790,865	81,263,820	20,906,315	2,588,998	143,880	2,340,409,934
	29							8	45,622	214,665	894,844	3,219,874	9,491,789	24,319,255	55,327,746	110,492,665	192,046,305	285,188,738	352,025,779	351,533,265	274,683,630	161,062,692	66,469,880	16,914,443	2,070,914	109,852	1,906,111,966
	30								22,148	151,114	644,424	2,367,370	7,148,072	18,444,982	42,155,483	84,374,261	146,943,634	218,331,958	270,134,286	270,037,121	211,570,796	124,031,146	51,226,073	12,952,928	1,549,264	80,062	1,462,165,122
	31								5,782	103,824	441,034	1,638,816	5,089,264	13,238,674	30,275,934	60,731,028	105,740,370	157,317,094	194,772,770	195,358,084	153,172,712	90,030,488	36,971,822	9,385,414	1,098,100	52,918	1,055,424,128
	32								516	66,489	293,472	1,067,441	3,422,070	8,961,301	20,496,025	41,086,652	71,607,331	106,516,249	131,962,716	132,573,363	104,257,006	61,377,652	25,191,586	6,314,198	745,558	34,821	715,974,446
	33									37,171	180,394	670,668	2,157,150	5,739,743	13,044,215	26,128,462	45,487,778	67,687,246	83,957,480	84,366,557	66,526,450	39,194,462	16,140,565	4,000,449	454,996	20,568	455,794,354
	34									15,104	109,243	399,568	1,289,861	3,444,562	7,815,050	15,596,513	27,071,696	40,298,646	49,946,855	50,357,665	39,688,800	23,478,331	9,606,087	2,403,719	261,146	10,096	271,792,942
	35									3,000	61,358	231,590	720,526	1,944,790	4,396,794	8,707,620	15,085,036	22,389,212	27,800,334	28,018,030	22,166,296	13,113,716	5,377,820	1,315,748	151,834	5,548	151,489,252
	36									146	31,650	127,335	381,072	1,024,684	2,311,688	4,541,239	7,828,430	11,609,004	14,413,952	14,536,561	11,504,104	6,828,136	2,813,696	684,292	75,001	3,232	78,714,222
	37										14,501	65,384	188,027	503,840	1,137,543	2,204,034	3,777,874	5,583,326	6,951,794	7,017,370	5,545,759	3,297,186	1,356,165	336,287	33,064	1,164	38,013,318
	38										4,464	33,098	89,236	226,734	515,805	997,573	1,696,859	2,486,233	3,094,477	3,132,968	2,480,205	1,468,445	605,866	149,509	15,602	496	16,997,570
	39										528	14,400	42,034	95,578	214,566	417,212	705,080	1,025,276	1,268,746	1,283,318	1,021,864	601,192	250,058	60,716	5,664	200	7,006,432
	40											5,886	17,870	37,663	82,224	160,257	267,670	386,157	477,459	482,631	384,322	224,818	94,490	24,336	1,856	20	2,647,659
	41											2,060	7,412	13,149	28,632	56,587	93,546	130,787	162,116	165,434	133,454	76,956	31,325	8,945	636	28	911,067
	42											393	2,662	4,700	8,416	18,207	29,161	40,647	49,813	51,090	41,881	23,680	9,630	2,661	158	16	283,115
	43											12	810	1,430	2,072	5,252	8,648	11,522	13,764	13,744	11,768	6,230	2,392	856	48		78,548
	44												252	492	458	1,292	2,026	2,825	3,277	3,326	2,930	1,652	544	188			19,262
	45												52	157	100	268	432	560	673	625	688	342	133	40	8		4,078
	46													31	19	42	88	85	136	106	129	86	24	4	4		754
	47													8	2	10	12	4	8	24	32	8					108
	48														1				2	2	8	4					17
	49															1											1
	50																			1							1

In Sloane's On-Line Encyclopedia of Integer Sequences the bottom row is is included as sequence A079875.

Lights Out Cube:

Buttons	Positions
0	1
1	54
2	1,431
3	24,804
4	316,251
5	3,162,510
6	25,827,165
7	177,100,560
8	1,040,446,486
9	5,317,168,916
10	23,913,642,226
11	95,457,369,144
12	339,930,538,185
13	1,080,757,481,134
14	3,053,070,032,511
15	7,576,816,216,796
16	16,233,040,500,987
17	29,396,466,092,822
18	44,029,343,202,869
19	53,442,675,203,992
20	51,578,158,468,634
21	38,836,356,522,788
22	22,350,616,115,974
23	9,607,958,387,296
24	3,013,785,631,536
25	680,837,208,384
26	113,169,453,024
27	14,576,836,608
28	1,391,192,064
29	89,579,520
30	2,985,984
Total	281,474,976,710,656

In Sloane's On-Line Encyclopedia of Integer Sequences this is included as sequence A079876.

Lights Out Deluxe:

The + move:

	Total	1	36	630	7,140	58,905	376,992	1,947,792	8,347,680	30,260,340	94,143,280	254,186,856	600,805,296	1,251,677,700	2,310,789,600	3,796,297,200	5,567,902,560	7,307,872,110	8,597,496,600	9,075,135,300	8,597,496,600	7,307,872,110	5,567,902,560	3,796,297,200	2,310,789,600	1,251,677,700	600,805,296	254,186,856	94,143,280	30,260,340	8,347,680	1,947,792	376,992	58,905	7,140	630	36	1	68,719,476,736
		Buttons
		0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23	24	25	26	27	28	29	30	31	32	33	34	35	36	Total
L i g h t s	0	1																																					1
	1														4	8			20		4																		36
	2					8				4		8		8	24	52	40	36	40	106	88	56	8	108	24	20													630
	3		4	8	4	8	4	8	8	32	40	24	60	88	200	248	728	728	856	792	1,176	568	496	360	380	136	72	64	28	16	4								7,140
	4		16	20	24	20	72	80	96	172	192	352	552	969	1,448	2,816	4,496	6,996	6,472	7,588	7,096	7,421	4,624	3,292	2,168	1,146	416	228	96	29	8								58,905
	5		16	48	100	152	248	344	544	800	1,376	1,992	3,564	6,064	11,232	18,128	29,648	40,872	48,008	46,040	47,936	41,232	31,736	20,552	13,344	7,160	3,536	1,472	640	168	40								376,992
	6			56	184	396	824	1,512	2,400	3,768	6,384	11,060	18,208	31,760	56,008	94,844	150,688	213,856	250,080	254,602	237,120	209,584	161,728	110,426	67,208	36,272	17,432	7,410	2,752	940	248	42							1,947,792
	7			64	336	840	1,932	4,240	8,216	14,648	25,824	45,232	78,816	138,656	241,004	411,704	645,036	902,152	1,077,972	1,116,608	1,033,332	892,176	686,400	468,384	282,504	153,160	73,068	30,488	10,788	3,232	744	112	12						8,347,680
	8			172	656	1,808	4,296	10,140	22,296	43,949	84,224	156,700	288,824	514,470	899,416	1,508,412	2,351,280	3,224,882	3,894,992	4,072,884	3,821,936	3,224,714	2,474,088	1,676,828	1,016,040	545,748	260,520	108,184	38,416	11,230	2,624	528	72	11					30,260,340
	9			200	1,064	3,752	9,652	23,072	53,160	116,088	235,764	465,288	880,972	1,623,968	2,858,904	4,781,096	7,317,196	10,002,856	12,015,312	12,760,024	11,963,164	10,084,416	7,641,540	5,199,320	3,131,412	1,683,760	795,732	329,688	118,056	36,520	9,176	1,856	272						94,143,280
	10			62	1,128	5,556	17,976	47,612	115,432	267,704	580,624	1,190,640	2,343,240	4,411,028	7,868,264	13,095,994	19,849,304	26,938,248	32,376,112	34,423,538	32,448,112	27,262,508	20,583,448	13,934,922	8,415,776	4,522,968	2,143,096	890,444	322,296	98,964	25,680	5,244	840	96					254,186,856
	11				808	6,512	26,748	82,928	223,056	548,712	1,257,160	2,696,224	5,483,240	10,501,896	18,913,332	31,346,160	47,212,208	63,640,216	76,315,100	81,114,536	76,685,680	64,491,176	48,621,696	32,843,880	19,853,492	10,650,184	5,072,280	2,121,744	774,456	241,512	63,736	14,016	2,260	304	44				600,805,296
	12				1,072	7,798	36,392	128,568	379,568	996,866	2,407,160	5,410,072	11,300,144	22,075,662	39,973,496	66,160,136	98,914,240	132,621,718	158,379,872	168,494,640	159,320,472	134,452,471	101,258,560	68,422,588	41,309,760	22,216,594	10,606,504	4,462,652	1,637,408	523,127	141,736	31,648	5,880	832	56	8			1,251,677,700
	13				1,168	9,224	47,436	181,064	577,668	1,616,288	4,109,624	9,596,216	20,683,988	41,101,112	74,739,544	123,452,248	183,708,480	244,874,008	291,729,336	309,786,760	293,332,788	247,832,800	187,082,796	126,327,112	76,365,044	41,167,912	19,703,064	8,335,088	3,086,888	990,912	273,384	63,336	12,200	1,920	192				2,310,789,600
	14				536	8,152	52,368	228,230	792,736	2,367,664	6,317,896	15,279,674	33,759,920	67,961,196	124,134,352	204,774,458	303,448,688	402,627,792	478,040,736	506,833,824	480,242,528	406,368,992	307,470,368	207,909,692	125,831,416	67,966,796	32,615,176	13,838,360	5,157,808	1,669,060	463,800	110,196	21,376	2,988	376	46			3,796,297,200
	15				60	5,192	48,036	250,856	972,868	3,126,320	8,745,800	21,869,296	49,276,904	100,322,168	183,923,888	302,966,280	447,061,740	591,088,352	699,173,576	740,573,256	701,606,396	594,901,256	450,937,560	305,809,440	185,264,524	100,241,592	48,198,092	20,496,592	7,654,820	2,491,504	696,068	162,920	31,580	5,024	564	32	4		5,567,902,560
	16					3,992	41,072	246,092	1,062,232	3,680,576	10,836,848	28,006,212	64,452,296	132,494,428	243,667,312	400,547,340	589,355,320	776,208,274	915,862,936	968,380,868	917,758,136	778,996,320	592,037,312	402,293,572	244,235,280	132,274,201	63,696,888	27,115,496	10,139,592	3,294,026	920,168	216,728	41,304	6,413	824	52			7,307,872,110
	17					3,480	35,316	225,488	1,050,192	3,891,592	12,041,224	32,180,632	75,494,848	156,619,448	288,805,544	474,272,944	695,964,772	913,846,488	1,075,681,608	1,135,877,296	1,076,478,804	914,696,448	696,479,540	474,307,944	288,516,668	156,377,024	75,331,976	32,057,672	11,979,700	3,889,728	1,079,360	253,032	49,528	7,504	712	80	8		8,597,496,600
	18					1,728	25,424	187,562	948,960	3,726,940	12,075,712	33,256,902	79,283,824	165,920,548	306,601,272	503,325,824	736,717,408	965,386,812	1,133,937,120	1,196,342,266	1,133,269,816	964,098,724	735,034,136	501,744,636	305,597,560	165,741,656	79,799,392	33,935,958	12,633,312	4,084,928	1,133,480	263,998	50,416	7,952	968	66			9,075,135,300
	19					280	14,000	133,736	764,500	3,221,360	10,904,708	30,843,112	74,787,092	157,631,832	291,871,044	478,826,656	699,903,608	914,956,320	1,073,396,488	1,131,046,320	1,071,628,228	912,087,192	696,535,412	476,002,248	290,409,576	157,549,368	75,748,796	32,120,032	11,919,716	3,833,456	1,058,064	247,784	47,660	6,992	904	112	4		8,597,496,600
	20					7	7,616	86,636	552,864	2,496,522	8,827,328	25,676,220	63,223,000	134,190,611	249,110,536	408,576,708	596,312,944	778,178,006	911,704,736	960,058,160	909,490,232	774,516,059	592,115,288	405,141,896	247,396,568	134,208,636	64,387,824	27,202,128	10,053,552	3,222,274	884,408	204,172	39,824	6,498	792	56	8	1	7,307,872,110
	21						4,964	55,400	369,192	1,755,248	6,443,440	19,191,176	47,859,268	102,287,816	190,344,332	312,233,960	455,100,200	593,488,776	694,230,752	730,822,592	692,092,952	589,837,624	451,144,604	309,084,072	188,737,496	102,367,672	49,000,336	20,616,544	7,575,664	2,411,456	659,228	152,856	29,288	4,816	760	72	4		5,567,902,560
	22						2,240	30,734	226,848	1,131,192	4,258,136	12,898,798	32,494,128	69,722,220	130,031,288	213,270,242	310,812,816	404,726,944	473,221,728	497,765,984	471,661,216	401,958,588	307,826,632	210,935,984	128,900,568	69,837,384	33,363,648	13,954,244	5,093,232	1,609,440	436,648	101,896	20,560	3,416	384	54	8		3,796,297,200
	23						368	13,760	121,604	652,136	2,542,220	7,797,120	19,735,648	42,497,896	79,306,776	130,030,544	189,317,064	246,335,064	287,835,568	302,711,208	286,857,980	244,662,008	187,508,708	128,626,320	78,634,540	42,557,096	20,268,056	8,432,664	3,053,372	957,672	259,284	60,264	12,112	2,224	300	24			2,310,789,600
	24						8	5,812	58,512	334,841	1,352,784	4,215,980	10,722,040	23,097,946	43,049,424	70,573,260	102,560,472	133,432,430	155,700,584	163,758,148	155,171,056	132,544,154	101,617,400	69,858,676	42,690,560	23,097,394	10,978,264	4,547,184	1,627,824	505,974	136,648	32,536	6,592	1,017	152	28			1,251,677,700
	25							2,792	27,800	158,920	647,148	2,034,088	5,183,356	11,141,064	20,765,076	33,929,352	49,276,508	63,917,304	74,633,424	78,400,624	74,400,988	63,560,984	48,863,368	33,595,216	20,589,612	11,132,336	5,279,532	2,175,272	771,408	236,272	63,740	15,200	3,272	576	64				600,805,296
	26							990	11,456	70,044	282,968	872,186	2,218,240	4,777,072	8,839,112	14,392,408	20,843,808	26,963,172	31,439,424	33,083,128	31,366,920	26,876,872	20,719,600	14,281,212	8,776,536	4,758,684	2,243,168	915,346	322,496	97,984	26,272	6,226	1,280	204	48				254,186,856
	27							136	3,676	25,848	108,780	335,128	843,040	1,796,888	3,303,792	5,359,168	7,696,068	9,960,280	11,563,304	12,180,088	11,565,048	9,949,752	7,691,428	5,339,168	3,286,976	1,787,464	841,444	340,280	118,000	35,336	9,348	2,288	472	80					94,143,280
	28								1,248	8,488	35,720	112,848	282,384	589,578	1,080,328	1,724,152	2,473,520	3,176,648	3,695,832	3,868,600	3,711,784	3,184,471	2,488,424	1,731,644	1,073,888	581,448	275,784	111,228	37,776	10,813	2,856	704	136	38					30,260,340
	29								468	2,720	10,320	32,896	82,332	169,808	302,212	481,656	679,624	868,584	1,004,984	1,058,824	1,010,524	883,064	685,624	485,664	301,364	164,056	77,648	31,304	10,088	2,968	748	152	48						8,347,680
	30								72	684	3,032	8,408	20,232	41,692	72,824	114,500	158,824	200,284	228,680	242,762	232,520	204,480	161,584	115,342	71,776	40,384	19,096	7,310	2,488	636	128	46	8						1,947,792
	31								8	160	716	1,960	4,304	8,144	14,828	21,960	30,856	37,424	43,924	44,856	45,316	38,560	32,868	22,360	14,776	7,976	3,824	1,496	516	120	32	8							376,992
	32									46	112	352	696	1,428	2,408	3,512	4,256	6,004	6,048	7,672	6,360	6,692	4,896	3,840	2,376	1,301	536	244	72	34	16	4							58,905
	33									8	16	48	120	192	368	368	676	504	924	656	832	680	632	440	372	144	96	32	20	8	4								7,140
	34											12	16	44	8	62	40	72	48	50	48	68	48	62	16	28		8											630
	35																4	8	4		12		8																36
	36																													1									1

Lights Out Deluxe:

The × move:

	Total	1	36	630	7,140	58,905	376,992	1,947,792	8,347,680	30,260,340	94,143,280	254,186,856	600,805,296	1,251,677,700	2,310,789,600	3,796,297,200	5,567,902,560	7,307,872,110	8,597,496,600	9,075,135,300	8,597,496,600	7,307,872,110	5,567,902,560	3,796,297,200	2,310,789,600	1,251,677,700	600,805,296	254,186,856	94,143,280	30,260,340	8,347,680	1,947,792	376,992	58,905	7,140	630	36	1	68,719,476,736
		Buttons
		0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23	24	25	26	27	28	29	30	31	32	33	34	35	36	Total
L i g h t s	0	1																																					1
	1										8	16	12																										36
	2		4	4		4	12	18	28	30	60	24	48	58	8	8				16	64	112	96	36															630
	3		16	12	24	44	56	84	172	244	256	356	248	164	116	80	192	328	452	648	756	744	760	784	444	112	48												7140
	4			58	48	162	156	464	652	948	1444	1278	1368	1255	1300	1834	2280	3397	4888	6526	7244	7694	6620	4000	2984	1585	424	248	32	16									58905
	5		16	60	260	252	936	1312	2368	3880	4460	6060	6536	7908	10656	13816	19880	27364	35232	42484	49264	45968	38736	29892	15972	8556	4084	736	304										376992
	6			154	392	1188	2056	4318	7280	11556	17680	22800	32452	42008	59956	84642	118956	157464	197488	234808	236956	231754	194508	133006	89276	42390	16008	7448	816	432									1947792
	7			56	960	1820	5612	9984	20336	34552	54384	87336	125192	190400	273636	399276	544392	728240	901296	999736	1061048	949220	767460	569152	326824	182336	81556	22020	9976	592	288								8347680
	8			208	656	4781	8760	26256	46996	93595	162744	270438	441096	678264	1044188	1490040	2120016	2742644	3329636	3784828	3714916	3430529	2754184	1878454	1220032	608095	268456	112744	19152	8568	48	16							30260340
	9				1540	4908	21696	43796	117276	216384	434200	758528	1285976	2122164	3225052	4899840	6708244	8843772	10711672	11577332	11817572	10397040	8272564	5973184	3492036	1937452	864784	284112	116436	10608	5112								94143280
	10			78	656	9442	25560	96642	203688	505644	964132	1872032	3325176	5520984	8990156	13182480	18861196	24378980	29042840	32201090	31170200	28031696	22218508	15250148	9764884	5007730	2301700	948786	217816	88940	3920	1752							254186856
	11				1468	6184	48812	122760	412608	881920	2052080	3968464	7419492	13030616	20797408	32314172	44841460	58767784	70349024	75201188	74937096	65271968	51344296	36568200	21809508	12139968	5552116	2020800	786584	113280	45456	440	144						600805296
	12				236	11275	40704	220306	544744	1645762	3511872	7704118	14732544	26177551	44301504	66746806	96099748	124271779	146803556	160147848	153783084	136021252	106828612	73361906	46467664	24306289	11414912	4726064	1281420	474980	36424	14720	16	4					1251677700
	13				788	4448	64100	209440	897120	2213836	5986168	12684472	25903596	48021456	80017816	126649212	178076852	232699728	276474252	293450764	287610444	248680144	193861240	136624928	82164016	45485516	21082172	8077512	3054480	578976	206292	7088	2744						2,310,789,600
	14					7790	38288	300822	924520	3303920	8039136	19591574	40381528	76205792	133254376	206318618	298734408	387281016	455579204	490845874	468311248	408601900	317762768	217796862	136429864	72179082	34205412	14175434	4288288	1491844	183040	64072	400	120					3,796,297,200
	15				112	2016	51564	218148	1214076	3529020	10919332	25593496	56438064	110235764	191307948	308272744	439491988	574688236	679415212	717733100	694228652	595697828	460009488	320331904	193224688	106139760	49711588	19765480	7361100	1713288	557068	37360	13536						5,567,902,560
	16					3398	20900	259062	976784	4237310	11691256	31567032	70024136	139744249	252536936	401286476	585798756	762798774	895601248	955992140	907195536	781684842	602176496	410887564	254097248	135453416	64455788	26848582	8864964	2986965	515536	160816	4352	1548					7,307,872,110
	17					296	26760	140368	1041556	3603476	12721360	33039848	78434264	161236220	291118600	477765180	691552664	906361112	1068757340	1125180872	1075610108	916289656	700606424	482299456	291212064	158738388	75161116	30836964	11506472	3139156	966864	114360	35544	88	24				8,597,496,600
	18					848	7484	142454	659092	3464152	10994912	32617554	78158904	164420092	307262336	501149710	738290968	967105972	1134252804	1201762768	1133977044	965707446	736754860	499563288	305836644	164113922	78600028	33303232	11834652	3982792	893728	254902	17024	5688					9,075,135,300
	19						9056	58700	577316	2371504	9570812	27610520	70317584	152462276	285707120	478344488	702694936	924224212	1088224668	1141325728	1079884504	912402996	690655888	470440424	283843484	154188060	74096964	31379004	11977376	3730664	1135020	205632	56032	1232	400				8,597,496,600
	20					49	1792	53660	290496	1843576	6703192	21889354	56551916	125280950	242098308	404833292	602662808	793932379	930625224	979217924	918103108	772962798	583840648	393493016	238990780	129273019	62704556	27259660	10363756	3589491	987256	272958	36096	10048					7,307,872,110
	21						2324	16608	219684	1022232	4711988	15024048	40912600	93404212	181417020	309812472	461783640	609589960	716949952	748852760	701291340	587435092	440098460	296977684	179318168	97625764	47875636	21057452	8384672	2912552	921404	223080	56208	4228	1320				5,567,902,560
	22						112	14998	90112	667810	2695288	9586784	26578188	61640182	123091164	210616244	316811996	419896456	491742224	514188514	478681732	398581550	298128612	199721138	120857356	66092696	32706440	14739844	5995224	2203966	710504	204270	43392	10228	136	40			3,796,297,200
	23						252	3716	61300	309656	1555792	5365504	15427880	36824848	73768672	128400432	193921524	257143236	302141532	314321896	291645808	241975296	179658628	120271204	72738300	39927840	20070076	9208748	3866448	1478016	505020	150636	39164	6492	1684				2,310,789,600
	24							3012	20456	176953	743700	2776160	8084012	19370025	39717720	69337394	105351048	140488402	164620324	171194124	158341756	130446402	96571072	64372442	38886004	21519541	10926412	5143486	2232316	891583	322860	104330	28744	6626	616	180			1251677700
	25							428	13012	69752	364408	1281448	3757736	9199420	18785396	33172656	50748168	67668680	79649168	82667988	76074520	62553636	45956804	30477096	18418172	10228860	5277064	2536976	1145820	479296	186240	66104	19972	5404	1072				600805296
	26							436	3272	34764	149240	548176	1592512	3815316	7890188	13943560	21405564	28786870	33885892	35202076	32350016	26411362	19283748	12705034	7665284	4270306	2238888	1108970	517320	230236	95408	35764	12304	3346	796	208			254186856
	27								1960	11168	62328	214004	591932	1422100	2881616	5099460	7899772	10662908	12627988	13166200	12069336	9766360	7079516	4626520	2768908	1557280	829316	424644	211072	98900	43488	17552	6472	1980	444	44	12		94143280
	28								488	4812	21336	74972	202472	456834	914820	1613706	2499304	3419863	4101776	4276300	3918104	3155529	2247884	1450096	861664	487425	266056	142890	75468	37827	18004	7988	3124	1162	380	56			30260340
	29								288	1144	7272	23276	59288	129828	247132	430708	676800	937272	1141316	1201600	1096572	878176	611740	386216	228160	128240	73468	42060	23052	12732	6400	2888	1268	504	184	76	20		8347680
	30									516	1912	5784	15472	30228	55664	97522	152696	216706	268220	288734	263752	205090	141208	85728	49528	28518	16620	10500	6528	3636	1808	832	360	162	56	12			1947792
	31									160	464	1216	2720	5688	10868	17492	27872	41868	52492	58004	54428	40268	26308	15476	8428	4948	3112	2056	1484	860	420	204	84	40	24	8			376992
	32									64	64	152	336	788	1696	2524	3968	6096	8572	9802	9036	6815	3900	2146	1104	562	460	342	212	134	72	28	12	5	4	6	4	1	58905
	33											32	16	56	224	292	416	576	1044	1456	1172	880	488	200	108	40	36	60	36	8									7140
	34													4		24	48	32	64	168	164	58	36	16	4	4		2	4	2									630
	35																	4		4	20	8																	36
	36																					1																	1

Mini Lights Out:

	Total	1	16	120	560	1,820	4,368	8,008	11,440	12,870	11,440	8,008	4,368	1,820	560	120	16	1	65,536
		Buttons
		0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	Total
L i g h t s	0	1																	1
	1						16												16
	2							80				40							120
	3								400				160						560
	4					140				1,440				240					1,820
	5		16				1,152				3,040				160				4,368
	6			80				4,016				3,872				40			8,008
	7				400				8,000				3,040						11,440
	8					1,440				9,990				1,440					12,870
	9						3,040				8,000				400				11,440
	10			40				3,872				4,016				80			8,008
	11				160				3,040				1,152				16		4,368
	12					240				1,440				140					1,820
	13						160				400								560
	14							40				80							120
	15												16						16
	16																	1	1

Gamze Lights Out

The + move

	Total	1	25	300	2300	12650	53130	177100	480700	1081575	2042975	3268760	4457400	5200300	5200300	4457400	3268760	2042975	1081575	480700	177100	53130	12650	2300	300	25	1	33554432
		Buttons
		0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23	24	25	Total
L i g h t s	0	1																										1
	1												4	4		4	4	8	1									25
	2		4			4	4		8	18	12	28	24	18	44	64	36	4	12	20								300
	3		8	12		20	24	24	16	92	160	152	234	352	400	256	200	192	108	36	14							2300
	4			38	32	36	124	176	192	254	744	1080	1448	1879	1856	1760	1372	782	564	226	52	35						12650
	5		13	28	152	100	365	704	1058	1716	2763	4644	6024	7688	8561	6772	5562	4044	1636	816	436	32	16					53130
	6			60	216	518	680	1924	4036	5904	9636	15492	22020	25776	25264	24836	18872	10958	6768	2904	876	360						177100
	7			44	350	1068	1994	4224	9538	17420	26690	44792	60270	65220	72728	67340	47638	31748	17854	8312	2844	424	202					480700
	8			82	276	1852	4232	8922	18828	39128	68880	94130	130888	164776	161620	140562	110692	72111	39896	16948	5604	2020	92	36				1081575
	9				512	1568	7590	15840	33644	73072	125435	189172	254668	309316	312838	257536	206348	140616	68084	31284	12204	2428	820					2042975
	10			36	228	2234	7848	25700	55228	105074	202120	319900	421048	478750	485156	446316	327524	199106	117144	51200	17612	5772	556	208				3268760
	11				290	1608	8756	28852	75332	149332	265664	442032	582546	648704	681648	606660	435290	275548	151032	70744	25412	6088	1820	32	10			4457400
	12				92	1653	6548	28088	81048	178852	321180	487726	683756	821860	796280	669374	508632	329404	173332	74890	27288	8531	1364	402				5200300
	13				124	776	6187	21812	70066	177244	322916	499904	696652	826704	804706	666108	504668	326268	166100	72344	27168	8136	2119	224	74			5200300
	14					750	3896	17440	53264	134742	282292	457620	600836	684162	693864	608236	431808	253374	137868	63708	23764	7316	2008	452				4457400
	15				28	224	2702	11488	36728	91848	198212	339700	450558	510028	522316	448632	308366	182976	97020	43628	16782	5628	1502	312	82			3268760
	16					152	1212	6524	23004	56855	115496	199994	291472	347624	330556	263242	190540	119927	58352	24206	9128	3384	1040	226	32	9		2042975
	17					40	600	3232	11432	30920	59268	102228	156544	186896	176302	143252	101784	60408	29131	12036	4836	1764	634	232	36			1081575
	18					42	216	1464	4688	12688	27772	46976	66112	79352	81616	70076	46136	23322	11464	5200	2240	868	304	108	44	12		480700
	19						124	500	1758	4424	10160	17176	23456	29632	31872	25908	16634	8684	3940	1752	656	252	124	40	8			177100
	20					5	20	146	680	1446	2724	4798	6988	9169	9896	7614	4932	2926	1104	394	152	64	40	24	8			53130
	21						8	40	124	428	664	1036	1604	1976	2285	2320	1386	504	147	44	32	28	9	4	6	4	1	12650
	22								20	98	160	176	224	350	432	488	288	44	12	8								2300
	23								8	20	26	4	16	64	60	36	40	20	6									300
	24												8			8	8	1										25
	25										1																	1

Gamze Lights Out

The × move

	Total	1	25	300	2300	12217	46305	127692	260300	396675	454219	389932	248124	114275	36475	7452	828	32	2097152
		Buttons
		0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	Total
L i g h t s	0	1																	1
	1					4	5												9
	2					12	20	8											40
	3		8	16	18	12	28	28	2	20	20								152
	4		12	24	60	74	60	80	72	52	112	104	40						690
	5		5	28	80	140	188	300	484	512	505	496	272	80					3090
	6			32	148	304	468	756	1420	2304	2464	1876	952	260	48	32			11064
	7			80	302	816	1372	2084	3502	5768	7180	5608	2732	944	308	32			30728
	8			84	428	1410	3056	5180	8176	12025	14848	12868	7040	2500	656	112	24		68407
	9			32	332	1584	4461	9336	15964	23256	27506	23768	13784	5216	1456	368	8		127071
	10			4	272	1648	5688	13836	25920	37988	43624	37576	22800	9612	2832	460	56	4	202320
	11				348	1992	7404	18744	35680	52224	58668	50712	32564	14464	4196	864	76		277936
	12				240	1816	7704	21192	42088	62664	69360	58692	38416	18200	5536	1032	120	8	327068
	13				64	992	5834	18896	41320	63952	71196	59616	38872	18848	6166	1160	152		327068
	14				8	660	4128	14368	33016	53576	62056	52272	34000	16896	5656	1152	136	12	277936
	15					536	3084	10360	22984	37240	44888	39512	25704	12600	4332	944	136		202320
	16					193	1648	6552	15040	23072	27488	25152	16408	7874	2928	660	48	8	127071
	17					24	568	3360	8724	13028	14311	13128	9108	4312	1404	376	64		68407
	18						384	1632	3720	6000	6756	5788	3792	1784	680	192			30728
	19						200	680	1486	2164	2392	2044	1266	564	212	48	8		11064
	20						4	252	556	594	620	572	328	96	48	20			3090
	21						1	36	108	196	168	108	40	16	17				690
	22							4	28	36	44	28	4	8					152
	23							8	6		12	12	2						40
	24								4	4				1					9
	25										1								1

Merlin Magic Square

Original version:

	Total	1	9	36	84	126	126	84	36	9	1	512
		Buttons
		0	1	2	3	4	5	6	7	8	9	Total
L i g h t s	0									1		1
	1					8	1					9
	2			12	4	8	4	8				36
	3				2	24	24	24	2	8		84
	4		4	8	24	54	24	8	4			126
	5		1	8	24	24	20	24	24		1	126
	6		4	8	24	8	24	12	4			84
	7				2		24	8	2			36
	8	1			4		4					9
	9						1					1

Merlin Magic Square

Reissued version:

	Total	1	9	36	84	126	126	84	36	9	1	512
		Buttons
		0	1	2	3	4	5	6	7	8	9	Total
L i g h t s	0									1		1
	1				4		1	4				9
	2			4	4	12	16					36
	3			12	14	12	20	20	6			84
	4			8	28	34	12	20	20	4		126
	5		5		20	44	32	12	8	4	1	126
	6		4	4	12	20	28	16				84
	7			8	2	4	12	8	2			36
	8	1					4	4				9
	9						1					1

XL-25 Knights Game:

	Total	1	25	300	2300	12650	53130	177100	480700	1081575	2042975	3268760	4457400	5200300	5200300	4457400	3268760	2042975	1081575	480700	177100	53130	12650	2300	300	25	1	33554432
		Buttons
		0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23	24	25	Total
L i g h t s	0																		1									1
	1												8			4		8		4						1		25
	2							8		8	16	32	52	72	32	16	36		24		4							300
	3					4		14		68	208	222	408	264	352	366	112	200	48	18			8		8			2300
	4						12	40	112	520	640	1432	1420	2240	2200	1272	1276	664	532	152	60	56	2	16	4			12650
	5					12	32	172	880	1352	3872	4228	8112	8640	7864	7012	4248	4032	1408	880	192	70	104	20				53130
	6				14	24	144	672	1954	6880	9416	20240	22644	28560	26624	20808	19780	8808	6736	2152	1162	352	80	40	10			177100
	7					64	456	1698	7552	13624	34672	44038	68976	69992	70576	69370	41464	32852	13464	8118	2472	948	280	84				480700
	8				16	192	972	5488	12748	39776	61794	118200	134416	168312	171852	133344	112424	59384	39728	13720	6648	1816	620	96	28		1	1081575
	9			4	24	216	2376	7944	31296	60692	140032	190332	284760	314004	306872	275348	185584	134723	60272	33640	10032	3956	656	204		8		2042975
	0				30	584	3080	17544	41234	114352	192568	338744	431380	506240	497440	419040	332492	190504	113864	43608	19502	4728	1576	184	58	8		3268760
	1				104	796	6792	19672	67608	140152	282944	431888	599632	680364	683752	597480	425768	281628	138864	67824	21864	8208	1648	344	64	4		4457400
	2				88	1688	6696	28368	74136	171640	316368	509472	685464	804528	812204	688936	502912	313496	172264	72752	29200	7704	1984	376	24			5200300
	13			20	256	1908	8608	28184	75200	170100	311112	507100	683472	817712	808992	680540	512952	312316	169480	75672	27136	7480	1712	308	40			5200300
	14			8	298	2128	8620	24040	67330	137392	277344	414864	602052	688504	686240	608600	425508	280208	137792	66312	22010	6808	1156	176	10			4457400
	15			28	440	1756	6248	21316	42976	111080	182776	327944	421448	505380	517728	433960	332848	185964	111144	41332	18688	4344	1224	116	16	4		3268760
	16		1	72	444	1424	4820	10224	34272	56912	129272	184872	274960	317240	322144	282512	189440	132112	56654	32384	8340	4008	708	144	16			2042975
	17			32	208	1144	1968	7956	12600	37859	56912	107724	137312	174924	172776	138688	112592	59796	38656	11816	6760	1244	536	64	8			1081575
	18		4	40	214	296	1788	1944	8166	11584	30032	42760	68752	74696	73112	66704	44624	32792	12420	7904	1538	1096	124	96	14			480700
	19			64	104	316	232	1518	1728	5944	8832	18514	23048	27716	28104	24050	18440	8868	6544	1406	1304	156	200	12				177100
	20		8	16	52	56	262	208	820	1232	3472	4696	6820	8224	9176	7488	4524	3776	1180	856	96	144	8	16				53130
	21		8	16	8	42		88	72	356	536	1192	1824	2300	1912	1496	1488	676	432	76	88	12	24	4				12650
	22		4				24		16	32	144	224	392	344	312	320	208	152	52	72	4							2300
	23							2		20	8	42	40	44	32	46	40	8	16	2								300
	24										5		8		4			8										25
	25	1																										1

Orbix (type 1):

	Total	1	12	66	220	495	792	924	792	495	220	66	12	1	4,096
		Buttons
		0	1	2	3	4	5	6	7	8	9	10	11	12	Total
L i g h t s	0	1													1
	1						12								12
	2							60				6			66
	3				40				180						220
	4					255				240					495
	5		12				600				180				792
	6			60				804				60			924
	7				180				600				12		792
	8					240				255					495
	9						180				40				220
	10			6				60							66
	11								12						12
	12													1	1

Jaap's Puzzle Page

Lights Out

Lights Out Classic:

Lights Out 2000:

Lights Out Cube:

Lights Out Deluxe:

The + move:

Lights Out Deluxe:

The × move:

Mini Lights Out:

Gamze Lights Out

The + move

Gamze Lights Out

The × move

Merlin Magic Square

Original version:

Merlin Magic Square

Reissued version:

XL-25 Knights Game:

Orbix (type 1):