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

0,3

Links

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

Example

 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! +...

Prog

 (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)}

Crossrefs

Cf. A196734.

Sequence in context: A053601 A328791 A140990 * A208438 A122891 A119156

Adjacent sequences: A196732 A196733 A196734 * A196736 A196737 A196738

Keyword

nonn

Author

Paul D. Hanna, Oct 05 2011

Status

approved