A003051 - cp's OEIS frontend

A003051 Number of inequivalent sublattices of index n in hexagonal lattice, where two sublattices are equivalent if they are related by a rotation or reflection preserving the hexagonal lattice.

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

[1, 1, 2, 3, 2, 3, 3, 5, 4, 4, 3, 8, 4, 5, 6, 9, 4, 8, 5, 10, 8, 7, 5, 15, 7, 8, 9, 13, 6, 14, 7, 15, 10, 10, 10, 20, 8, 11, 12, 20, 8, 18, 9, 17, 16, 13, 9, 28, 12, 17, 14, 20, 10, 22, 14, 25, 16, 16, 11, 34, 12, 17, 21, 27, 16, 26, 13, 24, 18, 26, 13, 40, 14]

cp's OEIS Frontend

A003051 Number of inequivalent sublattices of index n in hexagonal lattice, where two sublattices are equivalent if they are related by a rotation or reflection preserving the hexagonal lattice.

Table of values

List of values

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

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

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