A191806 G.f. satisfies: A(x) = Sum_{n>=0} x^n*A(x)^(n^4).

1, 1, 2, 19, 253, 5256, 153121, 5793349, 292530822, 18658710139, 1476004466687, 143228682526672, 16603062548806759, 2272210780577578355, 363396388117576899042, 67028665570181029621005, 14142153576677394736652147

Offset

0,3

Links

Table of n, a(n) for n=0..16.

Example

 G.f.: A(x) = 1 + x + 2*x^2 + 19*x^3 + 253*x^4 + 5256*x^5 + 153121*x^6 +...
where the g.f. satisfies:
A(x) = 1 + x*A(x) + x^2*A(x)^16 + x^3*A(x)^81 + x^4*A(x)^256 + x^5*A(x)^625 + x^6*A(x)^1296 +...+ x^n*A(x)^(n^4) +...

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))^(m^4))); polcoeff(A, n)}

Crossrefs

Cf. A107595, A191805, A191807, A191808.

Sequence in context: A124125 A234505 A239108 * A349721 A252710 A065923

Adjacent sequences: A191803 A191804 A191805 * A191807 A191808 A191809

Keyword

nonn

Author

Paul D. Hanna, Jun 16 2011

Status

approved