

A294202


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


3



1, 1, 3, 12, 67, 465, 3675, 30024, 299250, 3417690, 38983966, 446295630, 6494597538, 95113861987, 1365645758568, 20909896016688, 373941213111567, 6583031224561656, 114432377809889706, 2158725804226303597, 45003872172663258463, 928103099363098553160
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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: A289539 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



