A162663 - cp's OEIS frontend

A162663 Table by antidiagonals, T(n,k) is the number of partitions of {1..(nk)} that are invariant under a permutation consisting of n k-cycles.

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	2
6	1
7	2
8	7
9	5
10	1
11	3
12	8
13	31
14	15
15	1
16	2
17	16
18	42
19	164
20	52
21	1
22	4
23	10
24	111
25	268
26	999
27	203
28	1
29	2
30	28
31	70
32	931
33	1994
34	6841
35	877
36	1
37	4
38	12
39	258
40	602
41	9066
42	16852
43	51790
44	4140
45	1
46	3
47	31
48	106
49	2892
50	6078
51	99925
52	158778
53	428131
54	21147
55	1
56	4
57	22
58	329
59	1144
60	37778
61	70402
62	1224579
63	1644732
64	3827967
65	115975

[1, 1, 1, 1, 2, 2, 1, 2, 7, 5, 1, 3, 8, 31, 15, 1, 2, 16, 42, 164, 52, 1, 4, 10, 111, 268, 999, 203, 1, 2, 28, 70, 931, 1994, 6841, 877, 1, 4, 12, 258, 602, 9066, 16852, 51790, 4140, 1, 3, 31, 106, 2892, 6078, 99925, 158778, 428131, 21147, 1, 4, 22, 329, 1144, 37778, 70402, 1224579, 1644732, 3827967, 115975]

cp's OEIS Frontend

A162663 Table by antidiagonals, T(n,k) is the number of partitions of {1..(nk)} that are invariant under a permutation consisting of n k-cycles.

Table of values

List of values