A090361 - OEIS

%I #6 Nov 19 2014 10:05:55

%S 1,2,12,130,2075,44196,1183492,38254712,1449394470,62974889140,

%T 3085705347128,168283580164356,10107641429213386,662869582493716400,

%U 47124829795282593000,3609674673146922124600,296355186635275737517175

%N Satisfies A^2 = BINOMIAL(A090358^3), where A090358^6 = BINOMIAL(A090358^5).

%C See comments in A090358.

%H Vaclav Kotesovec, <a href="/A090361/b090361.txt">Table of n, a(n) for n = 0..320</a>

%F a(n) ~ (n-1)! / (50/3 * (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^3,x,x/(1-x))/(1-x)+x*O(x^n); polcoeff(B^(1/2),n,x))}

%Y Cf. A090358.

%K nonn

%O 0,2

%A _Paul D. Hanna_, Nov 26 2003