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Search: id:A006537
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| A006537 |
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Worst cases for Pierce expansions (numerators).
(Formerly M0585)
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+0
2
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| 1, 2, 3, 4, 7, 12, 22, 30, 32, 61, 65, 115, 161, 189, 296, 470, 598, 841, 904, 1856, 2158, 2416, 1925, 3462, 2130, 3749, 6546, 11201, 2159, 2360, 5186, 6071, 8664, 14735, 59745, 68482, 117997, 175672, 268618, 135585, 178909, 314752, 490652, 76800, 116789, 125493, 290641, 540539, 831180
(list; graph; listen)
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OFFSET
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1,2
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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.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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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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See A006538 for denominators.
Sequence in context: A018148 A084972 A141002 this_sequence A103963 A006706 A124390
Adjacent sequences: A006534 A006535 A006536 this_sequence A006538 A006539 A006540
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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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Added a(38)-a(49) from Keselj report, R. J. Mathar, Jun 30 2008.
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