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.

A215555 a(n) = binomial(11*n,n)*(9*n+1)/(10*n+1).

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%I A215555 #15 Aug 29 2025 04:15:35
%S A215555 1,10,209,4928,122507,3137706,81921840,2167714560,57928578191,
%T A215555 1559830082888,42254306265171,1150225193717600,31437550449182800,
%U A215555 862165662720962754,23713320186494219820,653855026849948319616,18068367354658442882775,500254126810079793897130
%N A215555 a(n) = binomial(11*n,n)*(9*n+1)/(10*n+1).
%C A215555 Number of standard Young tableaux of shape [10n,n].
%H A215555 Alois P. Heinz, <a href="/A215555/b215555.txt">Table of n, a(n) for n = 0..210</a>
%H A215555 Wikipedia, <a href="https://en.wikipedia.org/wiki/Young_tableau">Young tableau</a>.
%F A215555 a(n) = C(11*n,n)*(9*n+1)/(10*n+1).
%F A215555 a(n) ~ 9 * 11^(11*n+1/2) / (4^(5*n+1) * 5^(10*n+3/2) * (sqrt(Pi*n)). - _Amiram Eldar_, Aug 29 2025
%p A215555 a:= n-> binomial(11*n,n)*(9*n+1)/(10*n+1):
%p A215555 seq(a(n), n=0..20);
%t A215555 Table[Binomial[11n,n] (9n+1)/(10n+1),{n,0,20}] (* _Harvey P. Dale_, Nov 21 2023 *)
%Y A215555 Column k=10 of A214776.
%K A215555 nonn,changed
%O A215555 0,2
%A A215555 _Alois P. Heinz_, Aug 15 2012