A124577 - cp's OEIS frontend

A124577 Define p(alpha) to be the number of H-conjugacy classes where H is a Young subgroup of type alpha of the symmetric group S_n. Then a(n) = sum p(alpha) where |alpha| = n and alpha has at most n parts.

n	a(n)
0	1
1	1
2	6
3	39
4	356
5	4055
6	57786
7	983535
8	19520264
9	441967518
10	11235798510
11	316719689506
12	9800860032876
13	330230585628437
14	12032866998445818
15	471416196117401340
16	19758835313514076176
17	882185444649249777913
18	41797472220815112375966
19	2094455101139881670407954

[1, 1, 6, 39, 356, 4055, 57786, 983535, 19520264, 441967518, 11235798510, 316719689506, 9800860032876, 330230585628437, 12032866998445818, 471416196117401340, 19758835313514076176, 882185444649249777913, 41797472220815112375966, 2094455101139881670407954]

cp's OEIS Frontend

A124577 Define p(alpha) to be the number of H-conjugacy classes where H is a Young subgroup of type alpha of the symmetric group S_n. Then a(n) = sum p(alpha) where |alpha| = n and alpha has at most n parts.

Table of values

List of values