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Search: id:A006538
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| A006538 |
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Worst cases for Pierce expansions (denominators).
(Formerly M2471)
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+0
2
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| 1, 3, 5, 11, 11, 19, 35, 47, 53, 95, 103, 179, 251, 299, 503, 743, 1019, 1319, 1439, 2939, 3359, 3959, 5387, 5387, 5879, 5879, 17747, 17747, 23399, 23399, 23399, 23399, 23399, 23399, 93596, 186479, 186479, 278387, 442679, 493919, 493919, 493919, 830939, 1371719, 1371719, 1371719, 1371719, 1371719, 1371719
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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See A006537 for numerators.
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
P. Erdos and J. O. Shallit, New bounds on the length of finite Pierce and Engel series. Sem. Theor. Nombres Bordeaux (2) 3 (1991), no. 1, 43-53.
M. E. Mays, Iterating the division algorithm, Fib. Quart., 25 (1987), 204-213.
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LINKS
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Vlado Keselj, Length of finite Pierce series: theoretical analysis and numerical computations, Dept. Computer Science, U Waterloo, CS-96-21, Sep 10 1996.
Index entries for sequences related to Engel expansions
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CROSSREFS
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Adjacent sequences: A006535 A006536 A006537 this_sequence A006539 A006540 A006541
Sequence in context: A122133 A065019 A071328 this_sequence A066281 A072063 A115398
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KEYWORD
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nonn,frac
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AUTHOR
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Jeffrey Shallit, N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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Description corrected May 15 1995 and again Nov 07 2006.
Added a(38)-a(49) from Keselj report, R. J. Mathar, Jun 30 2008.
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