A056533 Even sieve: start with natural numbers, remove every 2nd term, remove every 4th term from what remains, remove every 6th term from what remains, etc.

1, 3, 5, 9, 11, 17, 19, 25, 27, 35, 37, 43, 51, 57, 59, 69, 75, 83, 85, 97, 101, 113, 117, 129, 131, 147, 153, 161, 163, 181, 185, 195, 203, 211, 219, 233, 243, 257, 259, 273, 275, 291, 307, 315, 321, 339, 341, 357, 369, 387, 389, 401, 417, 425, 437, 453, 465

Offset

1,2

Links

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

Index entries for sequences generated by sieves

Example

Start with (1,2,3,4,5,6,7,8,9,10,11,12,....), remove every 2nd term to get (1,3,5,7,9,11,...), remove every 4th term to get (1,3,5,9,11,...), etc.

Mathematica

lst = Range@480; i = 2; While[i <= (len = Length[lst]), lst = Drop[lst, {i, len, i}]; i+=2]; lst (* Robert G. Wilson v, May 26 2006 *)

Crossrefs

After k-th round of sieve, A001147(k)/A000165(k) of natural numbers remain, declining slowly to zero.

Sequence in context: A118113 A258165 A076193 * A329110 A114186 A117992

Adjacent sequences: A056530 A056531 A056532 * A056534 A056535 A056536

Keyword

nonn

Author

Henry Bottomley, Jun 19 2000

Status

approved