|
Search: id:A006538
|
|
|
| A006538 |
|
Worst cases for Pierce expansions (denominators).
(Formerly M2471)
|
|
+0
2
|
|
| 1, 3, 5, 11, 11, 19, 35, 47, 53, 95, 103, 179, 251, 299, 503, 743, 1019, 1319, 1439, 2939, 3359, 3959, 5387, 5387, 5879, 5879, 17747, 17747, 23399, 23399, 23399, 23399, 23399, 23399, 93596, 186479, 186479, 278387, 442679, 493919, 493919, 493919, 830939, 1371719, 1371719, 1371719, 1371719, 1371719, 1371719
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
See A006537 for numerators.
|
|
REFERENCES
|
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.
|
|
LINKS
|
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
|
|
CROSSREFS
|
Sequence in context: A122133 A065019 A071328 this_sequence A066281 A072063 A115398
Adjacent sequences: A006535 A006536 A006537 this_sequence A006539 A006540 A006541
|
|
KEYWORD
|
nonn,frac,new
|
|
AUTHOR
|
Jeffrey Shallit, njas
|
|
EXTENSIONS
|
Description corrected May 15 1995 and again Nov 07 2006.
Added a(38)-a(49) from Keselj report, R. J. Mathar, Jun 30 2008.
|
|
|
Search completed in 0.004 seconds
|
