A145394 - cp's OEIS frontend

A145394 Number of inequivalent sublattices of index n in hexagonal lattice, where two sublattices are considered equivalent if one can be rotated by a multiple of Pi/3 to give the other.

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

[1, 1, 2, 3, 2, 4, 4, 5, 5, 6, 4, 10, 6, 8, 8, 11, 6, 13, 8, 14, 12, 12, 8, 20, 11, 14, 14, 20, 10, 24, 12, 21, 16, 18, 16, 31, 14, 20, 20, 30, 14, 32, 16, 28, 26, 24, 16, 42, 21, 31, 24, 34, 18, 40, 24, 40, 28, 30, 20, 56, 22, 32, 36, 43, 28, 48, 24, 42, 32, 48, 24, 65, 26, 38, 42, 48, 32, 56, 28, 62]

cp's OEIS Frontend

A145394 Number of inequivalent sublattices of index n in hexagonal lattice, where two sublattices are considered equivalent if one can be rotated by a multiple of Pi/3 to give the other.

Table of values

List of values

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

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

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