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%I #4 Oct 25 2012 14:53:03
%S 1,-1,0,2,-7,21,-63,195,-624,2054,-6916,23712,-82498,290510,-1033410,
%T 3707850,-13402695,48760365,-178405155,656043855,-2423307045,
%U 8987427465,-33453694485,124936258125,-467995871775,1757900019099,-6619846420551
%N Row sums of number triangle A159971.
%F G.f.: (2c(-x)-1)/(1-xc(-x)^3)=(1-x+xc(-x))/(1+x)=(1-2x+sqrt(1+4x))/(2(1+x)), c(x) the g.f. of A000108.
%F Apparently n*a(n) +(5*n-6)*a(n-1) +2*(2*n-3)*a(n-2)=0. - _R. J. Mathar_, Oct 25 2012
%K easy,sign
%O 0,4
%A _Paul Barry_, Apr 28 2009