A006537 Worst cases for Pierce expansions (numerators).
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
Offset: 1
References
- N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
Links
- Hiroaki Yamanouchi, Table of n, a(n) for n = 1..57
- P. Erdős and Jeffrey Shallit, New bounds on the length of finite Pierce and Engel series, Sem. Theor. Nombres Bordeaux (2) 3 (1991), no. 1, 43-53.
- Vlado Keselj, Length of finite Pierce series: theoretical analysis and numerical computations, Dept. Computer Science, U Waterloo, CS-96-21, Sep 10 1996.
- M. E. Mays, Iterating the division algorithm, Fib. Quart., 25 (1987), 204-213.
- Index entries for sequences related to Engel expansions
Crossrefs
See A006538 for denominators.
Extensions
a(38)-a(49) (from Keselj report) added by R. J. Mathar, Jun 30 2008