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%I #28 Aug 08 2024 11:05:06
%S 1,1,6435,1577585295,4148378852099625,63805953776276649848625,
%T 4012852078114749147678149338875,
%U 814318942973348333484015877548157809375,450538787986875167583433232345723106006796340625
%N Number of partitions of { 1, 2, ..., 8n } into sets of size 8.
%H Andrew Howroyd, <a href="/A025040/b025040.txt">Table of n, a(n) for n = 0..50</a>
%H Cyril Banderier, Philippe Marchal, and Michael Wallner, <a href="https://arxiv.org/abs/1805.09017">Rectangular Young tableaux with local decreases and the density method for uniform random generation</a> (short version), arXiv:1805.09017 [cs.DM], 2018.
%F a(n) = (8n)!/(n!(8!)^n). - _Christian G. Bower_, Sep 15 1998
%t Table[Pochhammer[n + 1, 7*n]/8!^n, {n, 0, 10}] (* _Paolo Xausa_, Aug 08 2024 *)
%Y Column k=8 of A060540.
%K nonn
%O 0,3
%A _David W. Wilson_
%E a(0)=1 from _Andrew Howroyd_, Feb 26 2018