A090361 Satisfies A^2 = BINOMIAL(A090358^3), where A090358^6 = BINOMIAL(A090358^5).
1, 2, 12, 130, 2075, 44196, 1183492, 38254712, 1449394470, 62974889140, 3085705347128, 168283580164356, 10107641429213386, 662869582493716400, 47124829795282593000, 3609674673146922124600, 296355186635275737517175
Offset: 0
Keywords
Links
- Vaclav Kotesovec, Table of n, a(n) for n = 0..320
Crossrefs
Cf. A090358.
Programs
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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))}
Formula
a(n) ~ (n-1)! / (50/3 * (log(6/5))^(n+1)). - Vaclav Kotesovec, Nov 19 2014
Comments