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Result of applying the transformation on generating functions A -> 1/((1-x)*(1-x*A)) to the g.f. for A024718.
3

%I #3 Mar 30 2012 16:49:30

%S 1,2,5,15,51,187,716,2811,11204,45089,182636,743180,3034361,12420945,

%T 50946169,209296302,860941813,3545265139,14611979639,60268977054,

%U 248744871983,1027188978686,4243751316106,17539851091965,72519657462805,299930389183429,1240806275485094

%N Result of applying the transformation on generating functions A -> 1/((1-x)*(1-x*A)) to the g.f. for A024718.

%C Equivalently, result of applying same transformation 4 times to g.f. for Catalan numbers A000108.

%F G.f.: -(4*t-1+(-4*t+1)^(1/2))/(6*t^2-5*t+(-4*t+1)^(1/2)*t+1-(-4*t+1)^(1/2)).

%Y Cf. A000108, A014137, A024718.

%K nonn

%O 0,2

%A _N. J. A. Sloane_, Aug 30 2002