A138203 Sieve: start with the natural numbers; at the n-th step in the sieve remove every A138204(n)-th term from the sequence remaining in the prior step, where A138204 is the complement to this sequence starting with A138204(1)=2.

1, 3, 5, 9, 11, 17, 21, 27, 33, 37, 43, 51, 59, 69, 81, 91, 97, 105, 117, 133, 137, 149, 169, 181, 195, 211, 213, 235, 259, 273, 297, 307, 313, 339, 361, 369, 403, 409, 435, 465, 481, 485, 515, 539, 565, 581, 627, 641, 665, 689, 707, 739, 755, 785, 821, 853, 873

Offset

1,2

Comments

Terms computed by Joshua Zucker.

Links

Table of n, a(n) for n=1..57.

Example

Process: start with the natural numbers and then
delete every 2nd term:
(1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,...);
4 is missing, so delete every 4th term (7,15,23,...):
(1,3,5,9,11,13,17,19,21,25,27,29,...);
6 is missing, so delete every 6th term (13,29,...):
(1,3,5,9,11,17,19,21,25,27,...);
7 is missing, delete the 7th term (19,...):
(1,3,5,9,11,17,21,25,27,...);
8 is missing, delete the 8th term (25,...):
(1,3,5,9,11,17,21,27,...);
continue in this way to generate this sequence;
the missing terms form sequence A138204.

Crossrefs

Cf. A138204.

Sequence in context: A114186 A117992 A015614 * A225523 A007952 A145819

Adjacent sequences: A138200 A138201 A138202 * A138204 A138205 A138206

Keyword

nonn

Author

Paul D. Hanna, Apr 16 2008

Status

approved