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.
%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