A165738 - cp's OEIS frontend

A165738 Rank deficiency (= dimension of the null space) of the n X n "Lights Out" puzzle on a torus.

n	a(n)
1	0
2	0
3	4
4	0
5	8
6	8
7	0
8	0
9	4
10	16
11	0
12	16
13	0
14	0
15	12
16	0
17	16
18	8
19	0
20	32
21	4
22	0
23	0
24	32
25	8
26	0
27	4
28	0
29	0
30	24
31	40
32	0
33	44
34	32
35	8
36	16
37	0
38	0
39	4
40	64
41	0
42	8
43	0
44	0
45	12
46	0
47	0
48	64
49	0
50	16
51	20
52	0
53	0
54	8
55	8
56	0
57	4
58	0
59	0
60	48
61	0
62	80
63	52
64	0
65	56
66	88
67	0
68	64
69	4
70	16
71	0
72	32
73	0
74	0
75	12
76	0
77	0
78	8
79	0
80	128
81	4
82	0
83	0
84	16
85	24
86	0
87	4
88	0
89	0
90	24

[0, 0, 4, 0, 8, 8, 0, 0, 4, 16, 0, 16, 0, 0, 12, 0, 16, 8, 0, 32, 4, 0, 0, 32, 8, 0, 4, 0, 0, 24, 40, 0, 44, 32, 8, 16, 0, 0, 4, 64, 0, 8, 0, 0, 12, 0, 0, 64, 0, 16, 20, 0, 0, 8, 8, 0, 4, 0, 0, 48, 0, 80, 52, 0, 56, 88, 0, 64, 4, 16, 0, 32, 0, 0, 12, 0, 0, 8, 0, 128, 4, 0, 0, 16, 24, 0, 4, 0, 0, 24]

cp's OEIS Frontend

A165738 Rank deficiency (= dimension of the null space) of the n X n "Lights Out" puzzle on a torus.

Table of values

List of values

n	a(n)
1	0
2	0
3	4
4	0
5	8
6	8
7	0
8	0
9	4
10	16
11	0
12	16
13	0
14	0
15	12
16	0
17	16
18	8
19	0
20	32
21	4
22	0
23	0
24	32
25	8
26	0
27	4
28	0
29	0
30	24
31	40
32	0
33	44
34	32
35	8
36	16
37	0
38	0
39	4
40	64
41	0
42	8
43	0
44	0
45	12
46	0
47	0
48	64
49	0
50	16
51	20
52	0
53	0
54	8
55	8
56	0
57	4
58	0
59	0
60	48
61	0
62	80
63	52
64	0
65	56
66	88
67	0
68	64
69	4
70	16
71	0
72	32
73	0
74	0
75	12
76	0
77	0
78	8
79	0
80	128
81	4
82	0
83	0
84	16
85	24
86	0
87	4
88	0
89	0
90	24

n	a(n)
1	0
2	0
3	4
4	0
5	8
6	8
7	0
8	0
9	4
10	16
11	0
12	16
13	0
14	0
15	12
16	0
17	16
18	8
19	0
20	32
21	4
22	0
23	0
24	32
25	8
26	0
27	4
28	0
29	0
30	24
31	40
32	0
33	44
34	32
35	8
36	16
37	0
38	0
39	4
40	64
41	0
42	8
43	0
44	0
45	12
46	0
47	0
48	64
49	0
50	16
51	20
52	0
53	0
54	8
55	8
56	0
57	4
58	0
59	0
60	48
61	0
62	80
63	52
64	0
65	56
66	88
67	0
68	64
69	4
70	16
71	0
72	32
73	0
74	0
75	12
76	0
77	0
78	8
79	0
80	128
81	4
82	0
83	0
84	16
85	24
86	0
87	4
88	0
89	0
90	24

n	a(n)
1	0
2	0
3	4
4	0
5	8
6	8
7	0
8	0
9	4
10	16
11	0
12	16
13	0
14	0
15	12
16	0
17	16
18	8
19	0
20	32
21	4
22	0
23	0
24	32
25	8
26	0
27	4
28	0
29	0
30	24
31	40
32	0
33	44
34	32
35	8
36	16
37	0
38	0
39	4
40	64
41	0
42	8
43	0
44	0
45	12
46	0
47	0
48	64
49	0
50	16
51	20
52	0
53	0
54	8
55	8
56	0
57	4
58	0
59	0
60	48
61	0
62	80
63	52
64	0
65	56
66	88
67	0
68	64
69	4
70	16
71	0
72	32
73	0
74	0
75	12
76	0
77	0
78	8
79	0
80	128
81	4
82	0
83	0
84	16
85	24
86	0
87	4
88	0
89	0
90	24