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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
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified May 7 05:10 EDT 2021. Contains 343636 sequences. (Running on oeis4.)