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A100868

a(n) = Sum_{k>0} k^(2n-1)/phi^(2k) where phi = (1+sqrt(5))/2 = A001622.

1, 7, 151, 6847, 532231, 63206287, 10645162711, 2413453999327, 708721089607591, 261679010699505967, 118654880542567722871, 64819182599591545006207, 41987713702382161714004551, 31821948327041297758906340047, 27896532358791207565357448388631

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OFFSET

1,2

COMMENTS

A bisection of "Stirling-Bernoulli transform" of Fibonacci numbers.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..224

FORMULA

a(n) = A050946(2*n-1).

MATHEMATICA

FullSimplify[Table[PolyLog[1 - 2k, GoldenRatio^(-2)], {k, 1, 10}]] (* Vladimir Reshetnikov, Feb 16 2011 *)

PROG

(PARI) a(n)=round(sum(k=1, 500, k^(2*n-1)/((1+sqrt(5))/2)^(2*k)))

CROSSREFS

Cf. A001622, A050946, A100872.

Row sums of A303675.

Sequence in context: A362491 A202558 A159659 * A171410 A277122 A351147

Adjacent sequences: A100865 A100866 A100867 * A100869 A100870 A100871

KEYWORD

nonn

AUTHOR

Benoit Cloitre, Jan 08 2005

STATUS

approved

URL: https://oeis.org/A100868

⇱ A100868 - OEIS