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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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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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Sequence in context: A122133 A065019 A071328 this_sequence A066281 A072063 A115398
Adjacent sequences: A006535 A006536 A006537 this_sequence A006539 A006540 A006541
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KEYWORD
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nonn,frac,new
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AUTHOR
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Jeffrey Shallit, njas
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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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