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A115191 Fifth diagonal (M=5) of triangle A115154 (called Y(3,1)). 0
1, 364, 6379, 85384, 1039873, 12146074, 139010356, 1574773276, 17751401206, 199685662642, 2245313830945, 25260355535020, 284496154963705, 3208676674986850, 36246188218732000, 410128577783927380 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
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
KEYWORD
nonn,easy
AUTHOR
Wolfdieter Lang, Feb 23 2006
STATUS
approved

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Last modified March 29 11:14 EDT 2024. Contains 371278 sequences. (Running on oeis4.)