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A165748
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a(n) = (8/9)*(2+7*(-8)^(n-1)).
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2
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1, 8, -48, 400, -3184, 25488, -203888, 1631120, -13048944, 104391568, -835132528, 6681060240, -53448481904, 427587855248, -3420702841968, 27365622735760, -218924981886064, 1751399855088528, -14011198840708208
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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) = (-8)*a(n-1) + 16 for n>=1, with a(0) = 1.
a(n) = 8*a(n-2) - 7*a(n-1), a(0)=1, a(1)=8.
G.f.: (1+15x)/(1+7x-8x^2).
a(n) = Sum_{0<=k<=n} A112555(n,k)*7^(n-k).
a(n) = -7*a(n-1) + 8*a(n-2).
E.g.f.: (1/9)*(16*exp(x) - 7*exp(-8*x)). (End)
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MATHEMATICA
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Table[(8/9)*(2 + 7*(-8)^(n - 1)), {n, 0, 100}] or
LinearRecurrence[{-7, 8}, {1, 8}, 100] (* G. C. Greubel, Apr 07 2016 *)
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PROG
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(PARI) x='x+O('x^99); Vec((1+15*x)/(1+7*x-8*x^2)) \\ Altug Alkan, Apr 07 2016
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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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