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A025040
Number of partitions of { 1, 2, ..., 8n } into sets of size 8.
3
1, 1, 6435, 1577585295, 4148378852099625, 63805953776276649848625, 4012852078114749147678149338875, 814318942973348333484015877548157809375, 450538787986875167583433232345723106006796340625
OFFSET
0,3
LINKS
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
KEYWORD
nonn
EXTENSIONS
a(0)=1 from Andrew Howroyd, Feb 26 2018
STATUS
approved