A071722 Expansion of (1+x^2*C^2)*C^3, where C = (1-(1-4*x)^(1/2))/(2*x) is g.f. for Catalan numbers, A000108.

1, 3, 10, 33, 110, 372, 1276, 4433, 15574, 55250, 197676, 712538, 2585292, 9434830, 34610400, 127553745, 472055910, 1753616370, 6536826780, 24443315550, 91664179620, 344655239760, 1299052403688, 4907335827258, 18576824685820

Offset

0,2

Links

Table of n, a(n) for n=0..24.

Formula

Conjecture: 2*(n+3)*a(n) +4*(-3*n-4)*a(n-1) +(17*n-9)*a(n-2) +2*(-2*n+5)*a(n-3)=0. - R. J. Mathar, Aug 25 2013

Crossrefs

Sequence in context: A126931 A257178 A257363 * A058987 A001558 A304824

Adjacent sequences: A071719 A071720 A071721 * A071723 A071724 A071725

Keyword

nonn

Author

N. J. A. Sloane, Jun 06 2002

Status

approved