A071740 Expansion of (1+x^3*C^4)*C^3, where C = (1-(1-4*x)^(1/2))/(2*x) is g.f. for Catalan numbers, A000108.

1, 3, 9, 29, 97, 332, 1155, 4069, 14482, 51986, 187986, 684114, 2503573, 9207590, 34013895, 126153045, 469574670, 1753616370, 6568462590, 24670834470, 92896573770, 350612243904, 1326145316766, 5026028589314, 19083966487332

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^4)c^3, {x, 0, 30}], x]] (* Harvey P. Dale, Nov 18 2018 *)

Crossrefs

Sequence in context: A148938 A082306 A124431 * A081696 A247172 A339843

Adjacent sequences: A071737 A071738 A071739 * A071741 A071742 A071743

Keyword

nonn

Author

N. J. A. Sloane, Jun 06 2002

Status

approved