A073525 Result of applying the transformation on generating functions A -> 1/((1-x)*(1-x*A)) to the g.f. for A024718.

1, 2, 5, 15, 51, 187, 716, 2811, 11204, 45089, 182636, 743180, 3034361, 12420945, 50946169, 209296302, 860941813, 3545265139, 14611979639, 60268977054, 248744871983, 1027188978686, 4243751316106, 17539851091965, 72519657462805, 299930389183429, 1240806275485094

Offset: 0

Author

N. J. A. Sloane, Aug 30 2002

Keywords

• nonn

Comments

Equivalently, result of applying same transformation 4 times to g.f. for Catalan numbers A000108.

Crossrefs

Cf. A000108, A014137, A024718.

Formula

G.f.: -(4*t-1+(-4*t+1)^(1/2))/(6*t^2-5*t+(-4*t+1)^(1/2)*t+1-(-4*t+1)^(1/2)).