A162633 E.g.f. satisfies: A(x) = exp( x*A(x+x^2) ).

1, 1, 3, 22, 245, 4056, 89887, 2564794, 91107417, 3927302920, 201515838011, 12117018752334, 842801806725397, 67076226899414500, 6051672367977392535, 613945094407473751906, 69541717694720436605873

Offset

0,3

Links

Vaclav Kotesovec, Table of n, a(n) for n = 0..280

Example

E.g.f.: A(x) = 1 + x + 3*x^2/2! + 22*x^3/3! + 245*x^4/4! + 4056*x^5/5! +...
A(x+x^2) = 1 + x + 5*x^2/2! + 40*x^3/3! + 545*x^4/4! + 10276*x^5/5! +...
where log(A(x)) = x*A(x+x^2).

Prog

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

Crossrefs

Sequence in context: A042703 A141356 A335309 * A052677 A136741 A132693

Adjacent sequences: A162630 A162631 A162632 * A162634 A162635 A162636

Keyword

nonn

Author

Paul D. Hanna, Jul 07 2009

Status

approved