

A036567


Basic numbers used in SedgewickIncerpi 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;
text;
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, p. 91.


LINKS

Table of n, a(n) for n=1..28.
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, and 41 is the next integer that is relatively prime to 3, 7 and 16.


CROSSREFS

Cf. A036569.
Sequence in context: A029761 A009337 A323776 * A018023 A144977 A058300
Adjacent sequences: A036564 A036565 A036566 * A036568 A036569 A036570


KEYWORD

nonn,easy


AUTHOR

N. J. A. Sloane


EXTENSIONS

Better description and more terms from Jud McCranie, Jan 05 2001


STATUS

approved



