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A100868
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a(n) = Sum_{k>0} k^(2n-1)/phi^(2k) where phi = (1+sqrt(5))/2 = A001622.
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4
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1, 7, 151, 6847, 532231, 63206287, 10645162711, 2413453999327, 708721089607591, 261679010699505967, 118654880542567722871, 64819182599591545006207, 41987713702382161714004551, 31821948327041297758906340047, 27896532358791207565357448388631
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OFFSET
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1,2
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COMMENTS
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A bisection of "Stirling-Bernoulli transform" of Fibonacci numbers.
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LINKS
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FORMULA
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MATHEMATICA
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FullSimplify[Table[PolyLog[1 - 2k, GoldenRatio^(-2)], {k, 1, 10}]] (* Vladimir Reshetnikov, Feb 16 2011 *)
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PROG
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(PARI) a(n)=round(sum(k=1, 500, k^(2*n-1)/((1+sqrt(5))/2)^(2*k)))
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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