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.

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

Offset

0,3

Links

Andrew Howroyd, Table of n, a(n) for n = 0..200

Prog

(PARI)
G(n)={Vec(serlaplace(exp(sumdiv(3, d, y^d*(exp(d*x + O(x*x^n))-1)/d))))}
seq(n)={my(A=G(n)); vector(#A, n, vecmax(Vec(A[n])))} \\ Andrew Howroyd, Sep 20 2019

Crossrefs

Maximum row values of A294201.

Cf. A002873.

Sequence in context: A364620 A256125 A337059 * A107103 A107887 A187118

Adjacent sequences: A294199 A294200 A294201 * A294203 A294204 A294205

Keyword

nonn

Author

Andrew Howroyd, Oct 24 2017

Extensions

a(0)=1 prepended by Andrew Howroyd, Sep 20 2019

Status

approved