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A071742 Expansion of (1+x^4*C)*C, where C = (1-(1-4*x)^(1/2))/(2*x) is g.f. for Catalan numbers, A000108. 0
1, 1, 2, 5, 15, 44, 137, 443, 1472, 4994, 17225, 60216, 212874, 759696, 2733226, 9902857, 36100570, 132319230, 487333545, 1802620860, 6693765210, 24943905720, 93249826830, 349623734070, 1314370414344, 4953428965092 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..25.

W. Kuszmaul, Fast Algorithms for Finding Pattern Avoiders and Counting Pattern Occurrences in Permutations, arXiv preprint arXiv:1509.08216, 2015

FORMULA

Conjecture: -(n+1)*(n-2)*a(n) +4*(2*n^2-7*n+1)*a(n-1) -4*(2*n-3)*(2*n-9)*a(n-2)=0. - R. J. Mathar, Jun 24 2018

CROSSREFS

Sequence in context: A084086 A307259 A292524 * A035355 A220873 A148351

Adjacent sequences:  A071739 A071740 A071741 * A071743 A071744 A071745

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Jun 06 2002

STATUS

approved

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Last modified January 19 11:42 EST 2022. Contains 350465 sequences. (Running on oeis4.)