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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. 0
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified July 14 16:05 EDT 2020. Contains 335729 sequences. (Running on oeis4.)