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Search: id:A154883
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| A154883 |
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Nonrepeated entries in continued fraction for pi. |
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+0 1
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| 3, 7, 15, 1, 292, 2, 14, 84, 13, 4, 5, 99, 6, 5, 8, 12
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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A one-to-one map of the natural numbers into themselves and so also generates a "partner sequence" or "index sequence" 4 6 1 10 13 11 2 14 24 21 36 30 33 19 32 20 ? 22 ? 29 35 28 ... which notes the place in the continued fraction of pi in which 1, 2, 3, 4, 5, 6,... make their appearance (see A??????).
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EXAMPLE
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Since the actual continued fraction for pi is 3, 7, 15, 1, 292, 1, 1, 1, 2, ..., this sequence must be 3, 7, 15, 1, 292, 2, ...
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CROSSREFS
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A001203, A033089 (for records of main CF), A033090
Sequence in context: A106363 A128658 A001203 this_sequence A109732 A114396 A102032
Adjacent sequences: A154880 A154881 A154882 this_sequence A154884 A154885 A154886
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KEYWORD
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easy,nice,nonn
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AUTHOR
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Lee Corbin (lcorbin(AT)rawbw.com), Jan 16 2009
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