

A006537


Worst cases for Pierce expansions (numerators).
(Formerly M0585)


2



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
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OFFSET

1,2


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. ErdÅ‘s and Jeffrey Shallit, New bounds on the length of finite Pierce and Engel series, Sem. Theor. Nombres Bordeaux (2) 3 (1991), no. 1, 4353.
Vlado Keselj, Length of finite Pierce series: theoretical analysis and numerical computations, Dept. Computer Science, U Waterloo, CS9621, Sep 10 1996.
M. E. Mays, Iterating the division algorithm, Fib. Quart., 25 (1987), 204213.
Index entries for sequences related to Engel expansions


CROSSREFS

See A006538 for denominators.
Sequence in context: A018148 A084972 A141002 * A103963 A006706 A194079
Adjacent sequences: A006534 A006535 A006536 * A006538 A006539 A006540


KEYWORD

nonn,frac


AUTHOR

Jeffrey Shallit, N. J. A. Sloane


EXTENSIONS

a(38)a(49) (from Keselj report) added by R. J. Mathar, Jun 30 2008


STATUS

approved



