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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.
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2
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1, 7, 151, 6847, 532231, 63206287, 10645162711, 2413453999327, 708721089607591, 261679010699505967, 118654880542567722871, 64819182599591545006207, 41987713702382161714004551, 31821948327041297758906340047
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| A bisection of "Stirling-Bernoulli transform" of Fibonacci numbers
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FORMULA
| a(n)=A050946(2*n-1)
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MATHEMATICA
| FullSimplify[Table[PolyLog[1 - 2k, GoldenRatio^(-2)], {k, 1, 10}]] (* Vladimir Reshetnikov (v.reshetnikov(AT)gmail.com), Feb 16 2011 *)
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PROG
| (PARI) a(n)=round(sum(k=1, 500, k^(2*n-1)/((1+sqrt(5))/2)^(2*k)))
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CROSSREFS
| Cf. A100872.
Sequence in context: A070248 A202558 A159659 * A171410 A006761 A144683
Adjacent sequences: A100865 A100866 A100867 * A100869 A100870 A100871
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KEYWORD
| nonn
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AUTHOR
| Benoit Cloitre (benoit7848c(AT)orange.fr), Jan 08 2005
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