A191811 G.f. satisfies: A(x) = Sum_{n>=0} x^n*A(x)^binomial(n+4,5).

1, 1, 2, 9, 58, 501, 5452, 74211, 1257414, 26480393, 689598502, 21957924255, 844532153323, 38719749230469, 2091808065954023, 131835936103587004, 9607988537163939224, 803620426590302536069, 76622443259122023510169

Offset

0,3

Links

Table of n, a(n) for n=0..18.

Example

 G.f.: A(x) = 1 + x + 2*x^2 + 9*x^3 + 58*x^4 + 501*x^5 + 5452*x^6 +...
where the g.f. satisfies:
A(x) = 1 + x*A(x) + x^2*A(x)^6 + x^3*A(x)^21 + x^4*A(x)^56 + x^5*A(x)^126 + x^6*A(x)^252 + x^7*A(x)^462 +...+ x^n*A(x)^(n*(n+1)*(n+2)*(n+3)*(n+4)/5!) +...

Prog

 (PARI) {a(n)=local(A=1+x); for(i=1, n, A=1+sum(m=1, n, x^m*(A+x*O(x^n))^binomial(m+4, 5))); polcoeff(A, n)}

Crossrefs

Cf. A107591, A191809, A191810, A191812.

Sequence in context: A059115 A277358 A156129 * A005364 A267464 A184355

Adjacent sequences: A191808 A191809 A191810 * A191812 A191813 A191814

Keyword

nonn

Author

Paul D. Hanna, Jun 16 2011

Status

approved