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A166152
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a(n) = (6^n+12*(-7)^n)/13.
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4
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1, -6, 48, -300, 2316, -14916, 112188, -738660, 5450556, -36474276, 265397628, -1797317220, 12944017596, -88431340836, 632080079868, -4346196394980, 30893559749436, -213433808338596, 1510963317814908
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) = 42*a(n-2)-a(n-1), a(0)= 1, a(1)= -6, for n>1.
G.f.: (1-5x)/(1+x-42*x^2).
a(n)= Sum_{k, 0<=k<=n} A112555(n,k)*(-7)^k.
E.g.f.: (1/13)*(exp(6*x) + 12*exp(-7*x)). - G. C. Greubel, May 01 2016
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MATHEMATICA
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LinearRecurrence[{-1, 42}, {1, -6}, 50] (* G. C. Greubel, May 01 2016 *)
Table[(6^n+12*(-7)^n)/13, {n, 0, 30}] (* Harvey P. Dale, Jun 01 2019 *)
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PROG
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CROSSREFS
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KEYWORD
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easy,sign
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AUTHOR
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STATUS
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approved
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