A025040 Number of partitions of { 1, 2, ..., 8n } into sets of size 8.

1, 1, 6435, 1577585295, 4148378852099625, 63805953776276649848625, 4012852078114749147678149338875, 814318942973348333484015877548157809375, 450538787986875167583433232345723106006796340625

Offset

0,3

Links

Andrew Howroyd, Table of n, a(n) for n = 0..50

Cyril Banderier, Philippe Marchal, and Michael Wallner, Rectangular Young tableaux with local decreases and the density method for uniform random generation (short version), arXiv:1805.09017 [cs.DM], 2018.

Formula

a(n) = (8n)!/(n!(8!)^n). - Christian G. Bower, Sep 15 1998

Mathematica

Table[Pochhammer[n + 1, 7*n]/8!^n, {n, 0, 10}] (* Paolo Xausa, Aug 08 2024 *)

Crossrefs

Column k=8 of A060540.

Sequence in context: A140916 A208621 A294855 * A236092 A074978 A105377

Adjacent sequences: A025037 A025038 A025039 * A025041 A025042 A025043

Keyword

nonn

Author

David W. Wilson

Extensions

a(0)=1 from Andrew Howroyd, Feb 26 2018

Status

approved