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Search: id:A081838
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| A081838 |
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Let z(n) be the golden ratio truncated to n decimal digits; sequence gives n such that the last element in the continued fraction for z(n) is 2. |
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+0
1
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| 1, 2, 5, 7, 10, 13, 15, 25, 29, 30, 33, 34, 38, 39, 42, 43, 50, 52, 55, 59, 61, 67, 68, 69, 70, 72, 76, 77, 79, 80, 81, 85, 86, 87, 88, 89, 90, 94, 98, 99, 102, 104, 110, 121, 123, 124, 125, 126, 127, 128, 129, 130, 133, 135, 139, 146, 147, 148, 164, 166, 167, 175, 176
(list; graph; listen)
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OFFSET
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1,2
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FORMULA
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It seems that a(n)/n -> C = 2.7...
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EXAMPLE
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The continued fraction for (1+sqrt(5))/2 truncated to 10 decimal digits is z(10)=1.6180339887 = [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 2, 1, 1, 4, 1, 10, 36, 2], hence 10 is in the sequence.
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CROSSREFS
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Sequence in context: A047480 A038127 A140398 this_sequence A057347 A067008 A094065
Adjacent sequences: A081835 A081836 A081837 this_sequence A081839 A081840 A081841
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KEYWORD
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base,nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 11 2003
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