A300782 - cp's OEIS frontend

A300782 Number of symmetrically distinct sublattices (supercells, superlattices, HNFs) of the simple cubic lattice of index n.

n	a(n)
1	1
2	3
3	3
4	9
5	5
6	13
7	7
8	24
9	14
10	23
11	11
12	49
13	15
14	33
15	31
16	66
17	21
18	70
19	25
20	89
21	49
22	61
23	33
24	162
25	50
26	81
27	75
28	137
29	49
30	177
31	55
32	193
33	97
34	123
35	99
36	296
37	75
38	147
39	129
40	312
41	89
42	291
43	97
44	269
45	218
46	203
47	113
48	534
49	146
50	302
51	203
52	357
53	141
54	451
55	207
56	508
57	247
58	307
59	171
60	789

[1, 3, 3, 9, 5, 13, 7, 24, 14, 23, 11, 49, 15, 33, 31, 66, 21, 70, 25, 89, 49, 61, 33, 162, 50, 81, 75, 137, 49, 177, 55, 193, 97, 123, 99, 296, 75, 147, 129, 312, 89, 291, 97, 269, 218, 203, 113, 534, 146, 302, 203, 357, 141, 451, 207, 508, 247, 307, 171, 789]

cp's OEIS Frontend

A300782 Number of symmetrically distinct sublattices (supercells, superlattices, HNFs) of the simple cubic lattice of index n.

Table of values

List of values

n	a(n)
1	1
2	3
3	3
4	9
5	5
6	13
7	7
8	24
9	14
10	23
11	11
12	49
13	15
14	33
15	31
16	66
17	21
18	70
19	25
20	89
21	49
22	61
23	33
24	162
25	50
26	81
27	75
28	137
29	49
30	177
31	55
32	193
33	97
34	123
35	99
36	296
37	75
38	147
39	129
40	312
41	89
42	291
43	97
44	269
45	218
46	203
47	113
48	534
49	146
50	302
51	203
52	357
53	141
54	451
55	207
56	508
57	247
58	307
59	171
60	789

n	a(n)
1	1
2	3
3	3
4	9
5	5
6	13
7	7
8	24
9	14
10	23
11	11
12	49
13	15
14	33
15	31
16	66
17	21
18	70
19	25
20	89
21	49
22	61
23	33
24	162
25	50
26	81
27	75
28	137
29	49
30	177
31	55
32	193
33	97
34	123
35	99
36	296
37	75
38	147
39	129
40	312
41	89
42	291
43	97
44	269
45	218
46	203
47	113
48	534
49	146
50	302
51	203
52	357
53	141
54	451
55	207
56	508
57	247
58	307
59	171
60	789

n	a(n)
1	1
2	3
3	3
4	9
5	5
6	13
7	7
8	24
9	14
10	23
11	11
12	49
13	15
14	33
15	31
16	66
17	21
18	70
19	25
20	89
21	49
22	61
23	33
24	162
25	50
26	81
27	75
28	137
29	49
30	177
31	55
32	193
33	97
34	123
35	99
36	296
37	75
38	147
39	129
40	312
41	89
42	291
43	97
44	269
45	218
46	203
47	113
48	534
49	146
50	302
51	203
52	357
53	141
54	451
55	207
56	508
57	247
58	307
59	171
60	789