A294202 - cp's OEIS frontend

A294202 The maximal number of partitions of {1..3n} that are invariant under a permutation consisting of n 3-cycles, and which have the same number of nonempty parts.

n	a(n)
0	1
1	1
2	3
3	12
4	67
5	465
6	3675
7	30024
8	299250
9	3417690
10	38983966
11	446295630
12	6494597538
13	95113861987
14	1365645758568
15	20909896016688
16	373941213111567
17	6583031224561656
18	114432377809889706
19	2158725804226303597
20	45003872172663258463
21	928103099363098553160

[1, 1, 3, 12, 67, 465, 3675, 30024, 299250, 3417690, 38983966, 446295630, 6494597538, 95113861987, 1365645758568, 20909896016688, 373941213111567, 6583031224561656, 114432377809889706, 2158725804226303597, 45003872172663258463, 928103099363098553160]

cp's OEIS Frontend

A294202 The maximal number of partitions of {1..3n} that are invariant under a permutation consisting of n 3-cycles, and which have the same number of nonempty parts.

Table of values

List of values