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

Author

Henry Bottomley, Jun 19 2000

Keywords

• nonn

Examples

			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.
		

Links

• Index entries for sequences generated by sieves

Crossrefs

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

Programs

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 *)