A115134 - OEIS

%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