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A100872
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a(n)=(1/sqrt(5))*sum(k>0,k^(2n)/Phi^(2k)) where Phi=(1+sqrt(5))/2.
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2
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1, 13, 421, 25453, 2473141, 352444093, 69251478661, 17943523153933, 5927841361456981, 2431910546406522973, 1212989379862721528101, 722875495525684291639213, 507275965883448333971692021
(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)
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MATHEMATICA
| FullSimplify[Table[PolyLog[-2k, GoldenRatio^(-2)]/Sqrt[5], {k, 1, 10}]] (* Vladimir Reshetnikov (v.reshetnikov(AT)gmail.com), Feb 16 2011 *)
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PROG
| (PARI) a(n)=round(1/sqrt(5)*sum(k=1, 500, k^(2*n)/((1+sqrt(5))/2)^(2*k)))
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CROSSREFS
| Cf. A100868.
Sequence in context: A098890 A012023 A081442 * A012045 A012109 A012084
Adjacent sequences: A100869 A100870 A100871 * A100873 A100874 A100875
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KEYWORD
| nonn
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AUTHOR
| Benoit Cloitre (benoit7848c(AT)orange.fr), Jan 08 2005
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