%I #4 Mar 31 2012 13:20:06
%S 14,28,76,227,715,2333,7810,26663,92456,324700,1152464,4127294,
%T 14895145,54115895,197764350,726473055,2680979820,9934884960,
%U 36953107320,137913387450,516295313430,1938260223354
%N Fourth column of triangle A028364.
%F a(n)= A028364(n+3, 3) = C(0)*C(n+3)+C(1)*C(n+2)+C(2)*C(n+1)+ C(3)*C(n), with the Catalan numbers C(n)=A000108(n).
%F a(n)= (3*(31*n^3+163*n^2+254*n+112)/(8*(2*n+1)*(2*n+3)*(2*n+5)))*C(n+3).
%F G.f.: (c3(x)*c(x)-(c3(x)-1)/x)/x^3, with c3(x) := 1+x+2*x^2+5*x^3 and c(x) G.f. for Catalan numbers A000108.
%Y Cf. A067294 (third column), A067296 (fifth column).
%K nonn,easy
%O 0,1
%A _Wolfdieter Lang_, Feb 05 2002