A071732 Expansion of (1+x^3*C^2)*C^3, where C = (1-(1-4*x)^(1/2))/(2*x) is g.f. for Catalan numbers, A000108.

1, 3, 9, 29, 95, 317, 1076, 3707, 12935, 45630, 162486, 583338, 2109190, 7674157, 28077250, 103234695, 381260535, 1413686490, 5260849110, 19642116150, 73557465570, 276224933010, 1039922723424, 3924250124142, 14840700243830

Offset

0,2

Links

Table of n, a(n) for n=0..24.

Mathematica

With[{c=(1-Sqrt[1-4x])/(2x)}, CoefficientList[Series[(1+x^3 c^2)c^3, {x, 0, 30}], x]] (* Harvey P. Dale, Dec 04 2018 *)

Crossrefs

Sequence in context: A036550 A290897 A289448 * A289804 A071736 A286955

Adjacent sequences: A071729 A071730 A071731 * A071733 A071734 A071735

Keyword

nonn

Author

N. J. A. Sloane, Jun 06 2002

Status

approved