A071752 - OEIS

A071752

Expansion of (1+x^4*C^3)*C^3, where C = (1-(1-4*x)^(1/2))/(2*x) is g.f. for Catalan numbers, A000108.

%I #6 Sep 27 2017 09:09:34

%S 1,3,9,28,91,303,1028,3542,12363,43628,155414,558144,2018750,7347281,

%T 26888610,98888730,365292555,1354757040,5042499990,18830130360,

%U 70527871530,264886906830,997372693824,3764155637772,14236915323806

%N Expansion of (1+x^4*C^3)*C^3, where C = (1-(1-4*x)^(1/2))/(2*x) is g.f. for Catalan numbers, A000108.

%t c = (1 - (1 - 4*x)^(1/2))/(2*x); (1 + x^4*c^3)*c^3 + O[x]^25 // CoefficientList[#, x]& (* _Jean-François Alcover_, Sep 27 2017 *)

%K nonn

%O 0,2

%A _N. J. A. Sloane_, Jun 06 2002