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Search: id:A121569
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| A121569 |
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Fibonacci[ (p+3)/2 ] - 1, where p = Prime[n]. |
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1
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| 1, 2, 4, 12, 20, 54, 88, 232, 986, 1596, 6764, 17710, 28656, 75024, 317810, 1346268, 2178308, 9227464, 24157816, 39088168, 165580140, 433494436, 1836311902, 12586269024, 32951280098, 53316291172, 139583862444, 225851433716
(list; graph; listen)
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OFFSET
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2,2
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COMMENT
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p = Prime[n] divides a(n) for p = {29,89,101,181,229,349,401,461,509,521,541,709,761,769,809,...} = A047650[n] Primes for which golden mean tau is a quadratic residue or Primes of the form x^2+20y^2.
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FORMULA
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a(n) = Fibonacci[ (Prime[n]+3)/2 ] - 1, n>1. a(n) = Sum[ Fibonacci[k], {k,1,(p-1)/2} ], p = Prime[n], n>1.
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MATHEMATICA
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Table[Fibonacci[(Prime[n]+3)/2]-1, {n, 2, 50}]
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CROSSREFS
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Cf. A000045, A121567, A121568, A033205, A045468, A064739, A047650.
Sequence in context: A090922 A056228 A166869 this_sequence A099603 A062767 A052416
Adjacent sequences: A121566 A121567 A121568 this_sequence A121570 A121571 A121572
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KEYWORD
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nonn
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AUTHOR
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Alexander Adamchuk (alex(AT)kolmogorov.com), Aug 08 2006
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