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Search: id:A069655
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| A069655 |
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Maximum element in the simple continued fraction expansion for (1+1/n)^n. |
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+0
1
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| 2, 4, 3, 3, 20, 16, 11, 34, 18, 128, 56, 168, 39, 21, 162, 116, 37, 113, 72, 105, 73, 245, 244, 74, 159, 187, 253, 663, 101, 166, 34, 41, 87, 71, 46, 449, 181, 1874, 130, 215, 457, 317, 196, 256, 160, 107, 72, 147, 209, 114, 2632, 134, 252, 844, 1285, 341, 656
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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lim n -> infinity (1+1/n)^n=e
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EXAMPLE
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The simple continued fraction expansion of (1+1/10)^10 is [2, 1, 1, 2, 5, 1, 128, 1, 2, 12, 5, 3, 46, 1, 11, 7], hence a(10)=128
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MATHEMATICA
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Table[ Max[ ContinuedFraction[ (1 + 1/n)^n]], {n, 1, 60}]
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CROSSREFS
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Sequence in context: A137363 A110549 A161413 this_sequence A004574 A073127 A098604
Adjacent sequences: A069652 A069653 A069654 this_sequence A069656 A069657 A069658
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KEYWORD
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easy,nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), May 09 2002
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