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A071741 Expansion of (1+x^3*C^4)*C^4, where C = (1-(1-4*x)^(1/2))/(2*x) is g.f. for Catalan numbers, A000108. 1
1, 4, 14, 49, 173, 616, 2210, 7982, 29002, 105944, 388892, 1433797, 5307365, 19717440, 73496730, 274797330, 1030334910, 3873215640, 14595139140, 55120449930, 208601520114, 790972319472, 3004615788884, 11432740177564 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Harvey P. Dale, Table of n, a(n) for n = 0..1000

MATHEMATICA

With[{c=(1-Sqrt[1-4x])/(2x)}, CoefficientList[Series[(1+x^3*c^4)c^4, {x, 0, 30}], x]] (* Harvey P. Dale, Jun 22 2017 *)

CROSSREFS

Sequence in context: A010904 A277084 A071737 * A211305 A316974 A278026

Adjacent sequences:  A071738 A071739 A071740 * A071742 A071743 A071744

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Jun 06 2002

STATUS

approved

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Last modified December 6 18:16 EST 2021. Contains 349567 sequences. (Running on oeis4.)