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A071264 Expansion of (1+x*C^4)*C^3, where C = (1-(1-4*x)^(1/2))/(2*x) is g.f. for Catalan numbers, A000108. 1
1, 4, 16, 63, 244, 934, 3549, 13428, 50694, 191216, 721259, 2722073, 10282610, 38886330, 147243585, 558279000, 2119599270, 8058312360, 30677134380, 116937340494, 446317079712, 1705563385196, 6525404350306, 24994411455928 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..23.

FORMULA

Conjecture: (n+6) *(8587*n^2 +62958*n +61667) *a(n) +(8587*n^3 -377960*n^2 -2268967*n -1091596) *a(n-1) -2 *(2*n-1) *(42935*n^2 -14497*n -123334) *a(n-2)=0. - R. J. Mathar, Dec 10 2015

CROSSREFS

Sequence in context: A034542 A289594 A333071 * A077822 A257838 A099503

Adjacent sequences:  A071261 A071262 A071263 * A071265 A071266 A071267

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Jun 06 2002

STATUS

approved

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Last modified January 19 16:16 EST 2021. Contains 340270 sequences. (Running on oeis4.)