%I A006537 M0585
%S A006537 1,2,3,4,7,12,22,30,32,61,65,115,161,189,296,470,598,841,904,1856,2158,
               2416,
%T A006537 1925,3462,2130,3749,6546,11201,2159,2360,5186,6071,8664,14735,59745,68482,
               117997,
%U A006537 175672,268618,135585,178909,314752,490652,76800,116789,125493,290641,
               540539,831180
%N A006537 Worst cases for Pierce expansions (numerators).
%D A006537 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 A006537 M. E. Mays, Iterating the division algorithm, Fib. Quart., 25 (1987), 
               204-213.
%D A006537 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%H A006537 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 A006537 <a href="Sindx_El.html#Engel">Index entries for sequences related to 
               Engel expansions</a>
%Y A006537 See A006538 for denominators.
%Y A006537 Sequence in context: A018148 A084972 A141002 this_sequence A103963 A006706 
               A124390
%Y A006537 Adjacent sequences: A006534 A006535 A006536 this_sequence A006538 A006539 
               A006540
%K A006537 nonn,frac
%O A006537 1,2
%A A006537 Jeffrey Shallit, N. J. A. Sloane (njas(AT)research.att.com).
%E A006537 Added a(38)-a(49) from Keselj report, R. J. Mathar, Jun 30 2008.