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Search: id:A061145
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| A061145 |
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Sum of continued fraction terms in sum{k=1 to n}[1/k^2]. |
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+0
1
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| 1, 5, 10, 13, 26, 44, 53, 37, 47, 58, 60, 80, 198, 78, 115, 93, 206, 271, 1583, 144, 278, 235, 148, 185, 913, 366, 185, 215, 500, 251, 1002, 2127, 8704, 539, 546, 307, 636, 278, 3326, 290, 386, 665, 694, 313, 422, 364, 498, 455, 967, 748, 460, 731, 484, 1496, 2005
(list; graph; listen)
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OFFSET
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1,2
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EXAMPLE
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1 + 1/2^2 + 1/3^2 = 49/36 = 1 +1/(2 +1/(1 +1/(3 +1/3))). So a(3) = 1 + 2 + 1 + 3 + 3 = 10.
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MATHEMATICA
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Table[Sum[ContinuedFraction[Sum[1/i^2, {i, 1, n}]][[j]], {j, 1, Length[ContinuedFraction[Sum[1/i^2, {i, 1, n}]]]}], {n, 1, 80}] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Mar 24 2006
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CROSSREFS
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Sequence in context: A053029 A101868 A115819 this_sequence A119139 A023981 A113142
Adjacent sequences: A061142 A061143 A061144 this_sequence A061146 A061147 A061148
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KEYWORD
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easy,nonn
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AUTHOR
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Leroy Quet (qq-quet(AT)mindspring.com), May 29 2001
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EXTENSIONS
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More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Mar 24 2006
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