A214564 - cp's OEIS frontend

A214564 Number T(n,k) of totally symmetric plane partitions with largest part <= n and exactly k orbits under action of the symmetric group S_3; triangle T(n,k), n>=0, 0<=k<=A000292(n), read by rows.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	1
9	1
10	1
11	2
12	2
13	2
14	2
15	2
16	1
17	1
18	1
19	1
20	1
21	1
22	2
23	3
24	3
25	4
26	5
27	5
28	5
29	6
30	5
31	5
32	5
33	4
34	3
35	3
36	2
37	1
38	1
39	1
40	1
41	1
42	1
43	2
44	3
45	4
46	5
47	7
48	8
49	10
50	12
51	13
52	15
53	17
54	18
55	19
56	20
57	20
58	20
59	20
60	19
61	18
62	17
63	15
64	13
65	12
66	10
67	8
68	7
69	5
70	4
71	3
72	2
73	1
74	1
75	1

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 4, 3, 3, 2, 1, 1, 1, 1, 1, 1, 2, 3, 4, 5, 7, 8, 10, 12, 13, 15, 17, 18, 19, 20, 20, 20, 20, 19, 18, 17, 15, 13, 12, 10, 8, 7, 5, 4, 3, 2, 1, 1, 1]

cp's OEIS Frontend

A214564 Number T(n,k) of totally symmetric plane partitions with largest part <= n and exactly k orbits under action of the symmetric group S_3; triangle T(n,k), n>=0, 0<=k<=A000292(n), read by rows.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	1
9	1
10	1
11	2
12	2
13	2
14	2
15	2
16	1
17	1
18	1
19	1
20	1
21	1
22	2
23	3
24	3
25	4
26	5
27	5
28	5
29	6
30	5
31	5
32	5
33	4
34	3
35	3
36	2
37	1
38	1
39	1
40	1
41	1
42	1
43	2
44	3
45	4
46	5
47	7
48	8
49	10
50	12
51	13
52	15
53	17
54	18
55	19
56	20
57	20
58	20
59	20
60	19
61	18
62	17
63	15
64	13
65	12
66	10
67	8
68	7
69	5
70	4
71	3
72	2
73	1
74	1
75	1

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	1
9	1
10	1
11	2
12	2
13	2
14	2
15	2
16	1
17	1
18	1
19	1
20	1
21	1
22	2
23	3
24	3
25	4
26	5
27	5
28	5
29	6
30	5
31	5
32	5
33	4
34	3
35	3
36	2
37	1
38	1
39	1
40	1
41	1
42	1
43	2
44	3
45	4
46	5
47	7
48	8
49	10
50	12
51	13
52	15
53	17
54	18
55	19
56	20
57	20
58	20
59	20
60	19
61	18
62	17
63	15
64	13
65	12
66	10
67	8
68	7
69	5
70	4
71	3
72	2
73	1
74	1
75	1

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	1
9	1
10	1
11	2
12	2
13	2
14	2
15	2
16	1
17	1
18	1
19	1
20	1
21	1
22	2
23	3
24	3
25	4
26	5
27	5
28	5
29	6
30	5
31	5
32	5
33	4
34	3
35	3
36	2
37	1
38	1
39	1
40	1
41	1
42	1
43	2
44	3
45	4
46	5
47	7
48	8
49	10
50	12
51	13
52	15
53	17
54	18
55	19
56	20
57	20
58	20
59	20
60	19
61	18
62	17
63	15
64	13
65	12
66	10
67	8
68	7
69	5
70	4
71	3
72	2
73	1
74	1
75	1