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Search: id:A112324
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| A112324 |
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a(n) = denominator of sum of reciprocals of the terms of the continued fraction for prime(n+1)/prime(n). |
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+0
6
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| 2, 2, 1, 3, 10, 12, 8, 12, 15, 7, 30, 36, 20, 30, 35, 40, 58, 15, 48, 70, 4, 57, 65, 88, 24, 25, 75, 106, 108, 56, 93, 105, 68, 117, 37, 150, 39, 120, 135, 140, 178, 45, 190, 48, 49, 16, 17, 165, 226, 228, 190, 238, 120, 205, 210, 215, 67, 90, 276, 140, 84, 260, 228, 310
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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prime(6)/prime(5) = 13/11 = 1 + 1/(5 + 1/2).
So a(5) is 10, the denominator of 17/10 = 1 + 1/5 + 1/2.
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MATHEMATICA
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f[n_] := Plus @@ (1/# &) /@ ContinuedFraction[Prime[n + 1]/Prime[n]]; Table[Denominator[f[n]], {n, 64}] (*Chandler*)
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CROSSREFS
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Cf. A071866, A110021, A109374, A112323, A112768.
Adjacent sequences: A112321 A112322 A112323 this_sequence A112325 A112326 A112327
Sequence in context: A136203 A113326 A090447 this_sequence A061531 A071430 A092514
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KEYWORD
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nonn,frac
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AUTHOR
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Leroy Quet (qq-quet(AT)mindspring.com), Sep 03 2005
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EXTENSIONS
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Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Sep 07 2005
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