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%I
%S 1,-5,20,-85,350,-1470,6090,-25485,105830,-442150,1838240,-7673330,
%T 31923220,-133186760,554325750,-2311919325,9624918150,-40133290350,
%U 167114005800,-696706389750,2901470571300,-12094930814100,50375156502900,-209972720898450,874600454065500
%N Expansion of 1/(1+5*x*c(x)), c(x) the g.f. of Catalan numbers A000108.
%C Hankel transform is (-5)^n.
%F a(n)=Sum_{k, 0<=k<=n}A039599(n,k)*(-6)^k.
%p c:=(1-sqrt(1-4*x))/2/x: ser:=series(1/(1+5*x*c),x=0,27): seq(coeff(ser,x,n),n=0..24); - _Emeric Deutsch_, Mar 23 2007
%K sign
%O 0,2
%A _Philippe DELEHAM_, Mar 21 2007
%E More terms from _Emeric Deutsch_, Mar 23 2007
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