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%I #2 Oct 12 2012 14:40:25
%S 10,30,95,311,1043,3564,12363,43420,154088,551684,1990326,7228417,
%T 26405725,96961560,357688755,1324982160,4926502020,18379785300,
%U 68783559810,258141170430,971310800694,3663524817768,13848466284350
%N Third diagonal sequence of triangle A115127.
%F G.f. -(1+x^2+4*x^3) + (1-x+x^3)*c(x) with the g.f. c(x):=(1-sqrt(1-4*x))/(2*x) of A000108 (Catalan).
%Y Cf. A071726 (second diagonal of A115127 for n>=3 with g.f. -(1+x+3*x^2)+(1+x^2)*c(x)).
%K nonn,easy
%O 4,1
%A _Wolfdieter Lang_, Jan 13 2006
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