A145393 - cp's OEIS frontend

A145393 Number of inequivalent sublattices of index n in square lattice, where two sublattices are considered equivalent if one can be rotated or reflected to give the other, with that rotation or reflection preserving the parent square lattice.

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

[1, 2, 2, 4, 3, 5, 3, 7, 5, 7, 4, 11, 5, 8, 8, 12, 6, 13, 6, 15, 10, 11, 7, 21, 10, 13, 12, 18, 9, 22, 9, 21, 14, 16, 14, 29, 11, 17, 16, 29, 12, 28, 12, 25, 23, 20, 13, 39, 16, 27, 20, 29, 15, 34, 20, 36, 22, 25, 16, 50, 17, 26, 29, 38, 24, 40, 18, 36, 26, 40]

cp's OEIS Frontend

A145393 Number of inequivalent sublattices of index n in square lattice, where two sublattices are considered equivalent if one can be rotated or reflected to give the other, with that rotation or reflection preserving the parent square lattice.

Table of values

List of values

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

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

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