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A258160
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a(n) = 8*Lucas(n).
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7
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16, 8, 24, 32, 56, 88, 144, 232, 376, 608, 984, 1592, 2576, 4168, 6744, 10912, 17656, 28568, 46224, 74792, 121016, 195808, 316824, 512632, 829456, 1342088, 2171544, 3513632, 5685176, 9198808, 14883984, 24082792, 38966776, 63049568, 102016344, 165065912
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OFFSET
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0,1
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LINKS
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FORMULA
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G.f.: 8*(2 - x)/(1 - x - x^2).
a(n) = Fibonacci(n+6) - Fibonacci(n-6), where Fibonacci(-6..-1) = -8, 5, -3, 2, -1, 1 (see similar sequences listed in Crossrefs).
a(n) = Lucas(n+4) + Lucas(n) + Lucas(n-4), where Lucas(-4..-1) = 7, -4, 3, -1.
a(n) = a(n-1) + a(n-2) for n>1, a(0)=16, a(1)=8.
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MATHEMATICA
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Table[8 LucasL[n], {n, 0, 40}]
CoefficientList[Series[8*(2 - x)/(1 - x - x^2), {x, 0, 50}], x] (* G. C. Greubel, Dec 21 2017 *)
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PROG
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(Sage) [8*lucas_number2(n, 1, -1) for n in (0..40)]
(Magma) [8*Lucas(n): n in [0..40]];
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CROSSREFS
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Cf. A022352: Fibonacci(n+6) + Fibonacci(n-6).
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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