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

Author

Paul D. Hanna, May 11 2004

Keywords

• nonn

Examples

			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.

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