A071744 Expansion of (1+x^4*C)*C^3, where C = (1-(1-4*x)^(1/2))/(2*x) is g.f. for Catalan numbers, A000108.

1, 3, 9, 28, 91, 301, 1015, 3480, 12099, 42562, 151228, 541960, 1956734, 7110845, 25989701, 95475760, 352339875, 1305592470, 4855786680, 18120495720, 67828282410, 254606644050, 958182559854, 3614592283728, 13665501157070

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^4*c)c^3, {x, 0, 30}], x]] (* Harvey P. Dale, May 30 2016 *)

Crossrefs

Sequence in context: A143739 A189940 A047047 * A071748 A071752 A071756

Adjacent sequences: A071741 A071742 A071743 * A071745 A071746 A071747

Keyword

nonn

Author

N. J. A. Sloane, Jun 06 2002

Status

approved