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%I #9 Oct 21 2012 13:41:04
%S 1,1,2,4,12,40,156,700,3520,19592,119992,801272,5792464,45071600,
%T 375615696,3338063600,31511918816,314913425280,3321357021600,
%U 36868596345056,429672869359360,5245439731918784,66941714022827072,891387254398818752,12363478873222765568,178331546692362644992,2671094825005048612224
%N Binomial variation of the Catalan Numbers
%H Vincenzo Librandi, <a href="/A188479/b188479.txt">Table of n, a(n) for n = 0..200</a>
%F a(n) = sum( binomial(n-i, i)*a(i)*a(n-1-i), i=0..(n-1) ) with a(0)=1
%t a[0]=1; a[n_]:=a[n]=Sum[ Binomial[n-i,i] a[i]*a[n-1-i],{i,0,n-1}]; Table[ a[n], {n,0,30}]
%Y A000108, A001147, A188478
%K nonn,easy
%O 0,3
%A _Olivier Gérard_, Apr 01 2011