A090360 Satisfies A^3 = BINOMIAL(A090358^2), where A090358^6 = BINOMIAL(A090358^5).
1, 1, 5, 53, 855, 18471, 500651, 16334075, 623157898, 27214793210, 1338641476882, 73220527990322, 4408033139790830, 289619155572769806, 20620846574162157750, 1581511116725744872022, 129981009079318502310677
Offset: 0
Keywords
Links
- Vaclav Kotesovec, Table of n, a(n) for n = 0..310
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^2,x,x/(1-x))/(1-x)+x*O(x^n); polcoeff(B^(1/3),n,x))}
Formula
a(n) ~ (n-1)! / (75/2 * (log(6/5))^(n+1)). - Vaclav Kotesovec, Nov 19 2014
Comments