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Search: id:A071113
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| A071113 |
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Numbers n such that the number of elements in the continued fraction for (1+1/x)^x equals n for some x. |
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+0
1
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| 1, 2, 5, 7, 10, 14, 16, 20, 24, 29, 39, 40, 42, 44, 46, 55, 57, 59, 66, 68, 70, 81, 86, 91, 106, 108, 109, 117, 118, 119, 120, 123, 124, 133, 142, 147, 155, 159, 163, 164, 167, 168, 171, 176, 177, 198, 201, 205, 206, 213, 217, 226, 227, 228, 229, 233, 238, 246
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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It appears that lim n -> infinity a(n)/(n*Log(n)) = 1 - Benoit Cloitre, Jan 29 2006
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PROGRAM
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(PARI) for(n=1, 300, if(sum(i=1, n, if(length(contfrac((1+1/i)^i))-n, 0, 1))>0, print1(n, ", ")))
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CROSSREFS
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Sequence in context: A094065 A073593 A088947 this_sequence A071704 A094019 A161580
Adjacent sequences: A071110 A071111 A071112 this_sequence A071114 A071115 A071116
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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 27 2002
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