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, 4, 14, 49, 173, 616, 2210, 7982, 29002, 105944, 388892, 1433797, 5307365, 19717440, 73496730, 274797330, 1030334910, 3873215640, 14595139140, 55120449930, 208601520114, 790972319472, 3004615788884, 11432740177564

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