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%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
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