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

Author

Paul D. Hanna, Jun 17 2011

Keywords

• nonn

Examples

			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) +...
		

Crossrefs

Cf. A157134, A157136, A191813.

Programs

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)}