A115191 Fifth diagonal (M=5) of triangle A115154 (called Y(3,1)).

1, 364, 6379, 85384, 1039873, 12146074, 139010356, 1574773276, 17751401206, 199685662642, 2245313830945, 25260355535020, 284496154963705, 3208676674986850, 36246188218732000, 410128577783927380

Offset

0,2

Links

Table of n, a(n) for n=0..15.

Formula

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

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

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).

Example

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

Crossrefs

Sequence in context: A105920 A241617 A027799 * A175114 A022045 A278002

Adjacent sequences: A115188 A115189 A115190 * A115192 A115193 A115194

Keyword

nonn,easy

Author

Wolfdieter Lang, Feb 23 2006

Status

approved