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A123014 E.g.f.: ((1+x)/(1-x))^(1/3)*((1+x+x^2)/(1-x+x^2))^(1/6). 0
1, 1, 1, 1, 1, 25, 145, 1225, 7105, 28945, 165025, 4675825, 62610625, 961986025, 10237051825, 76785333625, 824649450625, 30519166302625, 643373556450625, 14253164811510625, 221377260570090625, 2460131161228365625, 39063024216812220625, 1791544805630470515625 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,6

LINKS

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

Philippe Flajolet, Éric Fusy, Xavier Gourdon, Daniel Panario and Nicolas Pouyanne, A Hybrid of Darboux's Method and Singularity Analysis in Combinatorial Asymptotics, arXiv:math.CO/0606370. [See A_6(z).]

MATHEMATICA

max = 23; f[x_] := ((1+x)/(1-x))^(1/3)*((1 + x + x^2)/(1 - x + x^2))^(1/6); CoefficientList[ Series[f[x], {x, 0, max}], x]*Range[0, max]! (* Jean-François Alcover, Oct 05 2011 *)

CROSSREFS

Sequence in context: A052501 A193438 A139152 * A095971 A147421 A147083

Adjacent sequences:  A123011 A123012 A123013 * A123015 A123016 A123017

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Nov 09 2006

STATUS

approved

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Last modified January 26 11:07 EST 2020. Contains 331279 sequences. (Running on oeis4.)