A097516 - cp's OEIS frontend

A097516 a(n) counts the solid partitions of n that are symmetric under all of the operations mirroring (F), rotation (T) and 4-D rotation (L).

n	a(n)
1	1
2	0
3	0
4	0
5	1
6	0
7	0
8	0
9	1
10	0
11	1
12	0
13	1
14	0
15	2
16	1
17	1
18	0
19	2
20	1
21	1
22	0
23	2
24	1
25	1
26	0
27	3
28	1
29	1
30	0
31	4
32	2
33	2
34	0
35	4
36	2
37	3
38	1
39	4
40	2
41	3
42	1
43	6
44	3
45	3
46	1
47	7
48	5
49	5
50	2
51	7
52	5
53	6
54	4
55	7
56	5
57	6
58	4
59	9
60	6
61	8
62	5
63	10
64	8
65	12
66	9
67	11
68	8
69	13
70	12
71	13
72	11
73	13
74	12
75	15
76	14
77	17
78	15
79	16
80	18
81	22
82	21
83	18
84	19
85	23
86	25
87	20
88	23
89	27
90	28
91	22
92	26
93	34
94	37
95	26
96	32
97	39
98	47
99	31
100	40

[1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 3, 1, 1, 0, 4, 2, 2, 0, 4, 2, 3, 1, 4, 2, 3, 1, 6, 3, 3, 1, 7, 5, 5, 2, 7, 5, 6, 4, 7, 5, 6, 4, 9, 6, 8, 5, 10, 8, 12, 9, 11, 8, 13, 12, 13, 11, 13, 12, 15, 14, 17, 15, 16, 18, 22, 21, 18, 19, 23, 25, 20, 23, 27, 28, 22, 26, 34, 37, 26, 32, 39, 47, 31, 40]

cp's OEIS Frontend

A097516 a(n) counts the solid partitions of n that are symmetric under all of the operations mirroring (F), rotation (T) and 4-D rotation (L).

Table of values

List of values

n	a(n)
1	1
2	0
3	0
4	0
5	1
6	0
7	0
8	0
9	1
10	0
11	1
12	0
13	1
14	0
15	2
16	1
17	1
18	0
19	2
20	1
21	1
22	0
23	2
24	1
25	1
26	0
27	3
28	1
29	1
30	0
31	4
32	2
33	2
34	0
35	4
36	2
37	3
38	1
39	4
40	2
41	3
42	1
43	6
44	3
45	3
46	1
47	7
48	5
49	5
50	2
51	7
52	5
53	6
54	4
55	7
56	5
57	6
58	4
59	9
60	6
61	8
62	5
63	10
64	8
65	12
66	9
67	11
68	8
69	13
70	12
71	13
72	11
73	13
74	12
75	15
76	14
77	17
78	15
79	16
80	18
81	22
82	21
83	18
84	19
85	23
86	25
87	20
88	23
89	27
90	28
91	22
92	26
93	34
94	37
95	26
96	32
97	39
98	47
99	31
100	40

n	a(n)
1	1
2	0
3	0
4	0
5	1
6	0
7	0
8	0
9	1
10	0
11	1
12	0
13	1
14	0
15	2
16	1
17	1
18	0
19	2
20	1
21	1
22	0
23	2
24	1
25	1
26	0
27	3
28	1
29	1
30	0
31	4
32	2
33	2
34	0
35	4
36	2
37	3
38	1
39	4
40	2
41	3
42	1
43	6
44	3
45	3
46	1
47	7
48	5
49	5
50	2
51	7
52	5
53	6
54	4
55	7
56	5
57	6
58	4
59	9
60	6
61	8
62	5
63	10
64	8
65	12
66	9
67	11
68	8
69	13
70	12
71	13
72	11
73	13
74	12
75	15
76	14
77	17
78	15
79	16
80	18
81	22
82	21
83	18
84	19
85	23
86	25
87	20
88	23
89	27
90	28
91	22
92	26
93	34
94	37
95	26
96	32
97	39
98	47
99	31
100	40

n	a(n)
1	1
2	0
3	0
4	0
5	1
6	0
7	0
8	0
9	1
10	0
11	1
12	0
13	1
14	0
15	2
16	1
17	1
18	0
19	2
20	1
21	1
22	0
23	2
24	1
25	1
26	0
27	3
28	1
29	1
30	0
31	4
32	2
33	2
34	0
35	4
36	2
37	3
38	1
39	4
40	2
41	3
42	1
43	6
44	3
45	3
46	1
47	7
48	5
49	5
50	2
51	7
52	5
53	6
54	4
55	7
56	5
57	6
58	4
59	9
60	6
61	8
62	5
63	10
64	8
65	12
66	9
67	11
68	8
69	13
70	12
71	13
72	11
73	13
74	12
75	15
76	14
77	17
78	15
79	16
80	18
81	22
82	21
83	18
84	19
85	23
86	25
87	20
88	23
89	27
90	28
91	22
92	26
93	34
94	37
95	26
96	32
97	39
98	47
99	31
100	40