A192036 E.g.f. satisfies: A(x) = Sum_{n>=0} x^n*A(n*x)^n/n!.

1, 1, 3, 22, 317, 7976, 329167, 21511036, 2187830521, 343670351392, 83118756921371, 30891910810811084, 17606061819337679173, 15347380239670729742272, 20404520526924833144453623, 41254672227383167503175726876, 126484184787351358506375259745393

Offset: 0

Author

Paul D. Hanna, Jun 21 2011

Keywords

• nonn

Examples

			E.g.f.: A(x) = 1 + x + 3*x^2/2! + 22*x^3/3! + 317*x^4/4! + 7976*x^5/5! +...
The e.g.f. satisfies:
A(x) = 1 + x*A(x) + x^2*A(2*x)^2/2! + x^3*A(3*x)^3/3! + x^4*A(4*x)^4/4! +...
		

Crossrefs

Cf. A125281, A155806, A218682.

Programs

PARI

{a(n)=local(A=1+x);for(i=1,n,A=1+sum(m=1,n,x^m*subst(A,x,m*x+x*O(x^(n)))^m/m!));n!*polcoeff(A,n)}
for(n=0,20,print1(a(n),", "))