A054345 - cp's OEIS frontend

A054345 Number of inequivalent sublattices of index n in a square lattice, where two sublattices are considered equivalent if one can be rotated to give the other.

n	a(n)
0	1
1	1
2	2
3	2
4	4
5	3
6	6
7	4
8	8
9	7
10	8
11	6
12	14
13	7
14	12
15	10
16	16
17	9
18	20
19	10
20	18
21	16
22	18
23	12
24	30
25	13
26	20
27	20
28	28
29	15
30	30
31	16
32	32
33	24
34	26
35	20
36	46
37	19
38	30
39	26
40	38
41	21
42	48
43	22
44	42
45	33
46	36
47	24
48	62
49	29
50	38
51	34
52	46
53	27
54	60
55	30
56	60
57	40
58	44
59	30
60	70
61	31
62	48
63	52
64	64
65	33
66	72
67	34
68	60
69	48
70	60

[1, 1, 2, 2, 4, 3, 6, 4, 8, 7, 8, 6, 14, 7, 12, 10, 16, 9, 20, 10, 18, 16, 18, 12, 30, 13, 20, 20, 28, 15, 30, 16, 32, 24, 26, 20, 46, 19, 30, 26, 38, 21, 48, 22, 42, 33, 36, 24, 62, 29, 38, 34, 46, 27, 60, 30, 60, 40, 44, 30, 70, 31, 48, 52, 64, 33, 72, 34, 60, 48, 60]

cp's OEIS Frontend

A054345 Number of inequivalent sublattices of index n in a square lattice, where two sublattices are considered equivalent if one can be rotated to give the other.

Table of values

List of values

n	a(n)
0	1
1	1
2	2
3	2
4	4
5	3
6	6
7	4
8	8
9	7
10	8
11	6
12	14
13	7
14	12
15	10
16	16
17	9
18	20
19	10
20	18
21	16
22	18
23	12
24	30
25	13
26	20
27	20
28	28
29	15
30	30
31	16
32	32
33	24
34	26
35	20
36	46
37	19
38	30
39	26
40	38
41	21
42	48
43	22
44	42
45	33
46	36
47	24
48	62
49	29
50	38
51	34
52	46
53	27
54	60
55	30
56	60
57	40
58	44
59	30
60	70
61	31
62	48
63	52
64	64
65	33
66	72
67	34
68	60
69	48
70	60

n	a(n)
0	1
1	1
2	2
3	2
4	4
5	3
6	6
7	4
8	8
9	7
10	8
11	6
12	14
13	7
14	12
15	10
16	16
17	9
18	20
19	10
20	18
21	16
22	18
23	12
24	30
25	13
26	20
27	20
28	28
29	15
30	30
31	16
32	32
33	24
34	26
35	20
36	46
37	19
38	30
39	26
40	38
41	21
42	48
43	22
44	42
45	33
46	36
47	24
48	62
49	29
50	38
51	34
52	46
53	27
54	60
55	30
56	60
57	40
58	44
59	30
60	70
61	31
62	48
63	52
64	64
65	33
66	72
67	34
68	60
69	48
70	60

n	a(n)
0	1
1	1
2	2
3	2
4	4
5	3
6	6
7	4
8	8
9	7
10	8
11	6
12	14
13	7
14	12
15	10
16	16
17	9
18	20
19	10
20	18
21	16
22	18
23	12
24	30
25	13
26	20
27	20
28	28
29	15
30	30
31	16
32	32
33	24
34	26
35	20
36	46
37	19
38	30
39	26
40	38
41	21
42	48
43	22
44	42
45	33
46	36
47	24
48	62
49	29
50	38
51	34
52	46
53	27
54	60
55	30
56	60
57	40
58	44
59	30
60	70
61	31
62	48
63	52
64	64
65	33
66	72
67	34
68	60
69	48
70	60