A191812 G.f. satisfies: A(x) = Sum_{n>=0} x^n*A(x)^binomial(n+5,6).

1, 1, 2, 10, 74, 782, 10982, 206346, 5142544, 168789842, 7201158787, 391194813232, 26651992683511, 2239377066821882, 229147222941318059, 28241058833042859637, 4149246030879282392144, 720738467750916348374860, 146838784937226592635807695

Offset

0,3

Links

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

Example

 G.f.: A(x) = 1 + x + 2*x^2 + 10*x^3 + 74*x^4 + 782*x^5 + 10982*x^6 +...
where the g.f. satisfies:
A(x) = 1 + x*A(x) + x^2*A(x)^7 + x^3*A(x)^28 + x^4*A(x)^84 + x^5*A(x)^210 + x^6*A(x)^462 + x^7*A(x)^924 +...+ x^n*A(x)^(n*(n+1)*(n+2)*(n+3)*(n+4)*(n+5)/6!) +...

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+5, 6))); polcoeff(A, n)}

Crossrefs

Cf. A107591, A191809, A191810, A191811.

Sequence in context: A004123 A086352 A005365 * A059104 A094071 A358437

Adjacent sequences: A191809 A191810 A191811 * A191813 A191814 A191815

Keyword

nonn

Author

Paul D. Hanna, Jun 16 2011

Status

approved