A094558 G.f. satisfies A(x) = F(x*A(x)), where F(x) is the g.f. of A094557.

1, 1, 3, 10, 42, 180, 825, 3874, 18761, 92524, 464208, 2359120, 12125196, 62902786, 328981007, 1732617254, 9181203778, 48915412966, 261868866141, 1407973076658, 7599615217348, 41163832991048, 223681001166586, 1219021518421518

Offset

0,3

Links

Table of n, a(n) for n=0..23.

Formula

a(n) = A094557(2*n)/(n+1).

G.f. satisfies: A(x) = A(y) + x*A(x)*A(y)^2 + x^2*A(x)^2*A'(y) + x^3*A(x)^3*A(y)*A'(y) where y = x^2*A(x)^2. - Paul D. Hanna, Apr 17 2013

Example

G.f.: A(x) = 1 + x + 3*x^2 + 10*x^3 + 42*x^4 + 180*x^5 + 825*x^6 +...

Crossrefs

Cf. A094557, A094601.

Sequence in context: A214835 A149059 A129878 * A074511 A000249 A107594

Adjacent sequences: A094555 A094556 A094557 * A094559 A094560 A094561

Keyword

nonn

Author

Paul D. Hanna, May 11 2004

Status

approved