cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A025042 Number of partitions of { 1, 2, ..., 10n } into sets of size 10.

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%I A025042 #35 Aug 28 2025 10:26:14
%S A025042 1,1,92378,925166131890,196056702961398759480,
%T A025042 402789797982510165934296910320,
%U A025042 5061324188732823772720935900249118313520,286835743456312434671347570864365730919777702885760,59034098562652855324502713832050720577190114808212674462486400
%N A025042 Number of partitions of { 1, 2, ..., 10n } into sets of size 10.
%H A025042 Andrew Howroyd, <a href="/A025042/b025042.txt">Table of n, a(n) for n = 0..50</a>
%H A025042 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 A025042 a(n) = (10n)!/(n!(10!)^n). - _Christian G. Bower_, Sep 15 1998
%F A025042 a(n) = a(n-1)*binomial(10*n-1,9). - _Christian Krause_, Dec 07 2023
%F A025042 a(n) ~ 2^(2*n+1/2) * 5^(8*n+1/2) * (n/e)^(9*n) / 567^n. - _Amiram Eldar_, Aug 28 2025
%t A025042 Table[Pochhammer[n + 1, 9*n]/10!^n, {n, 0, 10}] (* _Paolo Xausa_, Aug 08 2024 *)
%Y A025042 Column k=10 of A060540.
%K A025042 nonn,changed
%O A025042 0,3
%A A025042 _David W. Wilson_
%E A025042 a(0)=1 from _Andrew Howroyd_, Feb 26 2018