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Search: id:A115191
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| 1, 364, 6379, 85384, 1039873, 12146074, 139010356, 1574773276, 17751401206, 199685662642, 2245313830945, 25260355535020, 284496154963705, 3208676674986850, 36246188218732000, 410128577783927380
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OFFSET
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0,2
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FORMULA
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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).
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EXAMPLE
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a(0)= 1 = 1606 - 3*(4*190-9*25); a(1) = 364 = 14506 - 3*(4*1606-9*190).
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CROSSREFS
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Sequence in context: A043471 A105920 A027799 this_sequence A022045 A107509 A140935
Adjacent sequences: A115188 A115189 A115190 this_sequence A115192 A115193 A115194
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KEYWORD
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nonn,easy
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Feb 23 2006
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