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

0,3

Comments

See comments in A090358.

Links

Vaclav Kotesovec, Table of n, a(n) for n = 0..310

Formula

a(n) ~ (n-1)! / (75/2 * (log(6/5))^(n+1)). - Vaclav Kotesovec, Nov 19 2014

Prog

(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))}

Crossrefs

Cf. A090358.

Sequence in context: A235371 A036916 A118583 * A367156 A123130 A094089

Adjacent sequences: A090357 A090358 A090359 * A090361 A090362 A090363

Keyword

nonn

Author

Paul D. Hanna, Nov 26 2003

Status

approved