A025041 - OEIS

A025041

Number of partitions of { 1, 2, ..., 9n } into sets of size 9.

%I #37 Aug 08 2024 11:05:02

%S 1,1,24310,37978905250,893864677761055000,158421985022100255941485000,

%T 140413003088367308737750586624350000,

%U 474750200441159213998774295008486246570750000

%N Number of partitions of { 1, 2, ..., 9n } into sets of size 9.

%H Andrew Howroyd, <a href="/A025041/b025041.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) = (9*n)!/(n!*(9!)^n). - _Christian G. Bower_, Sep 15 1998

%t Table[Pochhammer[n + 1, 8*n]/9!^n, {n, 0, 10}] (* _Paolo Xausa_, Aug 08 2024 *)

%Y Column k=9 of A060540.

%K nonn,easy

%O 0,3

%A _David W. Wilson_

%E a(0)=1 from _Andrew Howroyd_, Feb 26 2018