A115191 - OEIS

%I #4 Sep 26 2012 04:25:02

%S 1,364,6379,85384,1039873,12146074,139010356,1574773276,17751401206,

%T 199685662642,2245313830945,25260355535020,284496154963705,

%U 3208676674986850,36246188218732000,410128577783927380

%N Fifth diagonal (M=5) of triangle A115154 (called Y(3,1)).

%F a(n)= A115154(n+4,n+1), n>=0.

%F Recurrence: a(n)= b(n) - 3*(4*b(n-1)-9*b(n-2)), with b(n):=A064063(n+5), n>=0.

%F G.f.: ((-3+27*x-27*x^2+2*x^4) + 3*(1-3*x)*(1-9*x)*c(3*x))/((2+x)*x^4), with the o.g.f. c(x) of A000108 (Catalan).

%e a(0)= 1 = 1606 - 3*(4*190-9*25); a(1) = 364 = 14506 - 3*(4*1606-9*190).

%K nonn,easy

%O 0,2

%A _Wolfdieter Lang_, Feb 23 2006