|
| |
|
|
A036567
|
|
Basic numbers used in Sedgewick-Incerpi upper bound for shell sort.
|
|
2
| |
|
|
3, 7, 16, 41, 101, 247, 613, 1529, 3821, 9539, 23843, 59611, 149015, 372539, 931327, 2328307, 5820767, 14551919, 36379789, 90949471, 227373677, 568434193, 1421085473, 3552713687, 8881784201, 22204460497, 55511151233, 138777878081
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,1
|
|
|
REFERENCES
| D. E. Knuth, The Art of Computer Programming, Vol. 3, Sorting and Searching, 2nd ed, section 5.2.1, pg 91.
|
|
|
LINKS
| Robert Sedgewick, Analysis of shellsort and related algorithms, Fourth European Symposium on Algorithms, Barcelona, September, 1996.
Index entries for sequences related to sorting
|
|
|
FORMULA
| a(n) is the smallest number >= 2.5^n that is relatively prime to all previous terms in the sequence.
|
|
|
EXAMPLE
| 2.5^4=39.0625, 41 is the next integer that is relatively prime to 3, 7 and 16.
|
|
|
CROSSREFS
| Cf. A036569.
Sequence in context: A001698 A029761 A009337 * A018023 A144977 A058300
Adjacent sequences: A036564 A036565 A036566 * A036568 A036569 A036570
|
|
|
KEYWORD
| nonn,easy
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
|
|
|
EXTENSIONS
| Better description and more terms from Jud McCranie (JudMcCranie(AT)ugaalum.uga.edu), Jan 05 2001
|
| |
|
|
