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A154883 Nonrepeated entries in continued fraction for pi. +0
1
3, 7, 15, 1, 292, 2, 14, 84, 13, 4, 5, 99, 6, 5, 8, 12 (list; graph; listen)
OFFSET

1,1

COMMENT

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??????).

EXAMPLE

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, ...

CROSSREFS

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

KEYWORD

easy,nice,nonn

AUTHOR

Lee Corbin (lcorbin(AT)rawbw.com), Jan 16 2009

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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