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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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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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See A006538 for denominators.
Adjacent sequences: A006534 A006535 A006536 this_sequence A006538 A006539 A006540
Sequence in context: A018148 A084972 A141002 this_sequence A103963 A006706 A124390
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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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