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%I #12 Nov 01 2017 17:29:36
%S 1,8,135,2574,51765,1072764,22664655,485325150,10495906641,
%T 228723580800,5014392953273,110471247622008,2443644577217025,
%U 54238301397083592,1207358254510786125,26943600312354592800,602594302548520646793,13502992968597378745800
%N a(n) = binomial(9*n,n)*(7*n+1)/(8*n+1).
%C Number of standard Young tableaux of shape [8n,n].
%H Alois P. Heinz, <a href="/A215553/b215553.txt">Table of n, a(n) for n = 0..225</a>
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Young_tableau">Young tableau</a>
%F a(n) = C(9*n,n)*(7*n+1)/(8*n+1).
%F a(n) = [x^n] ((1 - sqrt(1 - 4*x))/(2*x))^(7*n+1). - _Ilya Gutkovskiy_, Nov 01 2017
%p a:= n-> binomial(9*n,n)*(7*n+1)/(8*n+1):
%p seq(a(n), n=0..20);
%Y Column k=8 of A214776.
%K nonn
%O 0,2
%A _Alois P. Heinz_, Aug 15 2012
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