A161967 E.g.f. satisfies: A(x) = exp( x*exp( x*A'(x)/A(x) ) ), where A'(x)/A(x) = d/dx log(A(x)).

1, 1, 3, 22, 317, 7596, 270727, 13332544, 862740153, 70762448080, 7161344443691, 875732817920544, 127244974218410677, 21666397760623131712, 4273075677258426773295, 966395699152796722817536

Offset: 0

Author

Paul D. Hanna, Jun 23 2009

Keywords

• nonn

Examples

			E.g.f.: A(x) = 1 + x + 3*x^2/2! + 22*x^3/3! + 317*x^4/4! + 7596*x^5/5! +...
A'(x)/A(x) = 1 + 2*x + 15*x^2/2! + 232*x^3/3! + 5905*x^4/4! + 220176*x^5/5! +...
where x*exp( x*d/dx log(A(x)) ) = log(A(x)) = e.g.f. of A161968.
		

Crossrefs

Cf. A161968 (log).

Programs

PARI

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