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%I #11 Nov 21 2023 17:31:08
%S 1,10,209,4928,122507,3137706,81921840,2167714560,57928578191,
%T 1559830082888,42254306265171,1150225193717600,31437550449182800,
%U 862165662720962754,23713320186494219820,653855026849948319616,18068367354658442882775,500254126810079793897130
%N a(n) = binomial(11*n,n)*(9*n+1)/(10*n+1).
%C Number of standard Young tableaux of shape [10n,n].
%H Alois P. Heinz, <a href="/A215555/b215555.txt">Table of n, a(n) for n = 0..210</a>
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Young_tableau">Young tableau</a>
%F a(n) = C(11*n,n)*(9*n+1)/(10*n+1).
%p a:= n-> binomial(11*n,n)*(9*n+1)/(10*n+1):
%p seq(a(n), n=0..20);
%t Table[Binomial[11n,n] (9n+1)/(10n+1),{n,0,20}] (* _Harvey P. Dale_, Nov 21 2023 *)
%Y Column k=10 of A214776.
%K nonn
%O 0,2
%A _Alois P. Heinz_, Aug 15 2012
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