A123014 - OEIS

%I #13 Apr 23 2015 13:10:14

%S 1,1,1,1,1,25,145,1225,7105,28945,165025,4675825,62610625,961986025,

%T 10237051825,76785333625,824649450625,30519166302625,643373556450625,

%U 14253164811510625,221377260570090625,2460131161228365625,39063024216812220625,1791544805630470515625

%N E.g.f.: ((1+x)/(1-x))^(1/3)*((1+x+x^2)/(1-x+x^2))^(1/6).

%H Philippe Flajolet, Éric Fusy, Xavier Gourdon, Daniel Panario and Nicolas Pouyanne, <a href="http://arxiv.org/abs/math.CO/0606370">A Hybrid of Darboux's Method and Singularity Analysis in Combinatorial Asymptotics</a>, arXiv:math.CO/0606370. [See A_6(z).]

%t 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 *)

%K nonn

%O 0,6

%A _N. J. A. Sloane_, Nov 09 2006