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%I A006538 M2471
%S A006538 1,3,5,11,11,19,35,47,53,95,103,179,251,299,503,743,1019,1319,1439,2939,
               3359,
%T A006538 3959,5387,5387,5879,5879,17747,17747,23399,23399,23399,23399,23399,23399,
               93596,
%U A006538 186479,186479,278387,442679,493919,493919,493919,830939,1371719,1371719,
               1371719,1371719,1371719,1371719
%N A006538 Worst cases for Pierce expansions (denominators).
%C A006538 See A006537 for numerators.
%D A006538 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A006538 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.
%D A006538 M. E. Mays, Iterating the division algorithm, Fib. Quart., 25 (1987), 
               204-213.
%H A006538 Vlado Keselj, <a href="http://www.cs.uwaterloo.ca/research/tr/1996/21/
               cs-96-21.pdf">Length of finite Pierce series: theoretical analysis 
               and numerical computations</a>, Dept. Computer Science, U Waterloo, 
               CS-96-21, Sep 10 1996.
%H A006538 <a href="Sindx_El.html#Engel">Index entries for sequences related to 
               Engel expansions</a>
%Y A006538 Sequence in context: A122133 A065019 A071328 this_sequence A066281 A072063 
               A115398
%Y A006538 Adjacent sequences: A006535 A006536 A006537 this_sequence A006539 A006540 
               A006541
%K A006538 nonn,frac
%O A006538 1,2
%A A006538 Jeffrey Shallit, N. J. A. Sloane (njas(AT)research.att.com).
%E A006538 Description corrected May 15 1995 and again Nov 07 2006.
%E A006538 Added a(38)-a(49) from Keselj report, R. J. Mathar, Jun 30 2008.

    
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Last modified December 6 22:55 EST 2009. Contains 170429 sequences.


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