A191814 G.f. satisfies: A(x) = Sum_{n>=0} x^(n^2)*A(x)^(n^4).

1, 1, 1, 1, 2, 18, 154, 970, 4862, 20879, 83672, 353281, 1773612, 11060634, 84779040, 772415014, 7726721969, 77774342729, 747754441850, 6734769291340, 56695273838174, 448350981091266, 3357088027977272, 24017325363442968

Offset

0,5

Links

Table of n, a(n) for n=0..23.

Example

 G.f.: A(x) = 1 + x + x^2 + x^3 + 2*x^4 + 18*x^5 + 154*x^6 + 970*x^7 +...
where the g.f. satisfies:
A(x) = 1 + x*A(x) + x^4*A(x)^16 + x^9*A(x)^81 + x^16*A(x)^256 + x^25*A(x)^625 + x^36*A(x)^1296 +...+ x^(n^2)*A(x)^(n^4) +...

Prog

 (PARI) {a(n)=local(A=1+x); for(i=1, n, A=1+sum(m=1, n, x^(m^2)*(A+x*O(x^n))^(m^4))); polcoeff(A, n)}

Crossrefs

Cf. A157134, A157136, A191813.

Sequence in context: A361961 A091165 A363568 * A350569 A366953 A052838

Adjacent sequences: A191811 A191812 A191813 * A191815 A191816 A191817

Keyword

nonn

Author

Paul D. Hanna, Jun 17 2011

Status

approved