A165740 - cp's OEIS frontend

A165740 Positive integers n such that solution to the toric n X n "Lights Out" puzzle is not unique (up to the order of flippings; each flipping appears at most once).

n	a(n)
1	3
2	5
3	6
4	9
5	10
6	12
7	15
8	17
9	18
10	20
11	21
12	24
13	25
14	27
15	30
16	31
17	33
18	34
19	35
20	36
21	39
22	40
23	42
24	45
25	48
26	50
27	51
28	54
29	55
30	57
31	60
32	62
33	63
34	65
35	66
36	68
37	69
38	70
39	72
40	75
41	78
42	80
43	81
44	84
45	85
46	87
47	90
48	93
49	95
50	96
51	99
52	100
53	102
54	105
55	108
56	110
57	111
58	114
59	115
60	117
61	119
62	120
63	123
64	124
65	125
66	126

[3, 5, 6, 9, 10, 12, 15, 17, 18, 20, 21, 24, 25, 27, 30, 31, 33, 34, 35, 36, 39, 40, 42, 45, 48, 50, 51, 54, 55, 57, 60, 62, 63, 65, 66, 68, 69, 70, 72, 75, 78, 80, 81, 84, 85, 87, 90, 93, 95, 96, 99, 100, 102, 105, 108, 110, 111, 114, 115, 117, 119, 120, 123, 124, 125, 126]

cp's OEIS Frontend

A165740 Positive integers n such that solution to the toric n X n "Lights Out" puzzle is not unique (up to the order of flippings; each flipping appears at most once).

Table of values

List of values

n	a(n)
1	3
2	5
3	6
4	9
5	10
6	12
7	15
8	17
9	18
10	20
11	21
12	24
13	25
14	27
15	30
16	31
17	33
18	34
19	35
20	36
21	39
22	40
23	42
24	45
25	48
26	50
27	51
28	54
29	55
30	57
31	60
32	62
33	63
34	65
35	66
36	68
37	69
38	70
39	72
40	75
41	78
42	80
43	81
44	84
45	85
46	87
47	90
48	93
49	95
50	96
51	99
52	100
53	102
54	105
55	108
56	110
57	111
58	114
59	115
60	117
61	119
62	120
63	123
64	124
65	125
66	126

n	a(n)
1	3
2	5
3	6
4	9
5	10
6	12
7	15
8	17
9	18
10	20
11	21
12	24
13	25
14	27
15	30
16	31
17	33
18	34
19	35
20	36
21	39
22	40
23	42
24	45
25	48
26	50
27	51
28	54
29	55
30	57
31	60
32	62
33	63
34	65
35	66
36	68
37	69
38	70
39	72
40	75
41	78
42	80
43	81
44	84
45	85
46	87
47	90
48	93
49	95
50	96
51	99
52	100
53	102
54	105
55	108
56	110
57	111
58	114
59	115
60	117
61	119
62	120
63	123
64	124
65	125
66	126

n	a(n)
1	3
2	5
3	6
4	9
5	10
6	12
7	15
8	17
9	18
10	20
11	21
12	24
13	25
14	27
15	30
16	31
17	33
18	34
19	35
20	36
21	39
22	40
23	42
24	45
25	48
26	50
27	51
28	54
29	55
30	57
31	60
32	62
33	63
34	65
35	66
36	68
37	69
38	70
39	72
40	75
41	78
42	80
43	81
44	84
45	85
46	87
47	90
48	93
49	95
50	96
51	99
52	100
53	102
54	105
55	108
56	110
57	111
58	114
59	115
60	117
61	119
62	120
63	123
64	124
65	125
66	126