A073079 Generating function satisfies A(x) = exp(A(x)x + 3A(x^2)x^2/2 + A(x^3)x^3/3 + 3A(x^4)x^4/4 +...).

1, 1, 3, 6, 16, 38, 103, 268, 738, 2029, 5723, 16242, 46762, 135584, 396702, 1167986, 3460931, 10308313, 30853232, 92734392, 279811894, 847218649, 2573387068, 7839150746, 23943472360, 73310409148, 224970044407, 691817432334

Offset

0,3

Links

Table of n, a(n) for n=0..27.

Formula

A(x) = exp(sum_{n=1..inf} [2+(-1)^n]A(x^n)x^n/n), A(0)=1, where A(x)=1 + x + 3x^2 + 16x^3 + 38x^4 +103x^5 +...

Crossrefs

Sequence in context: A096588 A256943 A275207 * A143560 A279685 A001675

Adjacent sequences: A073076 A073077 A073078 * A073080 A073081 A073082

Keyword

easy,nonn

Author

Paul D. Hanna, Aug 17 2002

Status

approved