A118570 Very lucky numbers : apply the sieve to obtain the lucky numbers (A000959) on the lucky numbers themselves.

1, 3, 9, 13, 21, 25, 33, 37, 51, 67, 69, 75, 93, 99, 111, 129, 133, 141, 151, 163, 189, 193, 205, 223, 237, 259, 261, 273, 289, 297, 307, 319, 331, 357, 385, 393, 415, 429, 433, 463, 483, 487, 495, 519, 529, 537, 577, 583, 591, 613, 621, 631, 643

Offset

1,2

Comments

Start with the lucky numbers (A000959). After the initial 1, the first number is 3. So delete every 3rd number, leaving 1 3 9 13 ...; the next number remaining is 9, so delete every 9nd number, leaving 1 3 9 13 21 25 33 ...; now delete every 13th number, then delete every 21st number; etc. It would be interesting to know the density of those numbers.

Links

Table of n, a(n) for n=1..53.

Crossrefs

Cf. A000959.

Sequence in context: A171101 A287184 A197569 * A212244 A004617 A135370

Adjacent sequences: A118567 A118568 A118569 * A118571 A118572 A118573

Keyword

base,nonn

Author

Luc Stevens (lms022(AT)yahoo.com), May 07 2006

Extensions

Corrected by T. D. Noe, Nov 01 2006

Status

approved