A192055 E.g.f. satisfies: A(x) = Sum_{n>=0} A(2^n*x)^n * x^n/n!.

1, 1, 5, 85, 3969, 459281, 125569153, 79212732481, 113540993392641, 365157835665133825, 2606331667566896138241, 40900559102224525035430913, 1399954043998218670311054016513, 103806413322828910929240793184636929

Offset

0,3

Links

Table of n, a(n) for n=0..13.

Example

 E.g.f.: A(x) = 1 + x + 5*x^2/2! + 85*x^3/3! + 3969*x^4/4! + 459281*x^5/5! +...
The e.g.f. satisfies:
A(x) = 1 + x*A(2*x) + x^2*A(4*x)^2/2! + x^3*A(8*x)^3/3! + x^4*A(16*x)^4/4! +...

Prog

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

Crossrefs

Sequence in context: A101928 A012788 A208886 * A012815 A113107 A317355

Adjacent sequences: A192052 A192053 A192054 * A192056 A192057 A192058

Keyword

nonn

Author

Paul D. Hanna, Jun 21 2011

Status

approved