A196735 E.g.f. satisfies: A(x) = exp(x*A(3*x)^(1/3)).

1, 1, 3, 28, 941, 121696, 58279927, 98693039488, 574767759680921, 11307939591431088640, 741800547536454112053131, 160601295262890881800391317504, 113798222852671185437521059198500869, 262065699673092152689287590716544261804032

Offset: 0

Author

Paul D. Hanna, Oct 05 2011

Keywords

• nonn

Examples

			E.g.f.: A(x) = 1 + x + 3*x^2/2! + 28*x^3/3! + 941*x^4/4! + 121696*x^5/5! +...
where
A(3*x)^(1/3) = 1 + x + 7*x^2/2! + 208*x^3/3! + 23365*x^4/4! + 9588976*x^5/5! +...
		

Crossrefs

Cf. A196734.

Programs

PARI

{a(n)=local(A=1+x);for(i=1,21,A=exp(x*subst(A,x,3*x+x*O(x^n))^(1/3)));n!*polcoeff(A,n)}