%I #6 Nov 19 2014 09:59:04

%S 1,1,4,40,640,13816,374636,12229364,466769330,20391705290,

%T 1003264704212,54885373562372,3304609250020008,217139910688424400,

%U 15461303963210314980,1185856988993966140380,97466557932008735970465

%N Self-convolution equals the binomial transform of A090358: A^2 = BINOMIAL(A090358), where A090358^6 = BINOMIAL(A090358^5).

%C See comments in A090358.

%H Vaclav Kotesovec, <a href="/A090359/b090359.txt">Table of n, a(n) for n = 0..310</a>

%F a(n) ~ (n-1)! / (50 * (log(6/5))^(n+1)). - _Vaclav Kotesovec_, Nov 19 2014

%o (PARI) {a(n)=local(A); if(n<1,0,A=1+x+x*O(x^n); for(k=1,n,B=subst(A^5,x,x/(1-x))/(1-x)+x*O(x^n); A=A-A^6+B);B=subst(A,x,x/(1-x))/(1-x)+x*O(x^n); polcoeff(B^(1/2),n,x))}

%Y Cf. A090358.

%K nonn

%O 0,3

%A _Paul D. Hanna_, Nov 26 2003