A194282 Variant of the even lucky numbers (A045954).

2, 6, 10, 14, 18, 26, 30, 34, 38, 50, 54, 58, 62, 74, 78, 82, 86, 102, 106, 110, 114, 122, 126, 130, 134, 154, 158, 162, 170, 178, 182, 194, 202, 210, 222, 226, 230, 246, 250, 254, 258, 266, 270, 274, 278, 290, 298, 314, 318, 326, 338, 342, 346, 354, 370

Offset

1,1

Comments

Write down even numbers: 2, 4, 6, 8, ...; first term is 2 so starting from 2 remove every second number: 2, 6, 10, 14, 18, 22, 26, 30, 34, 38, 42, 46, 50, ...; next number is 6 so remove every 6th term starting from 2: 2, 6, 10, 14, 18, 26, 30, 34, 38, 42, 50, ...; etc.

This differs from the even lucky numbers in that for those the first step of removals consists of removing every fourth number rather than every second number as is done here. Michon calls this starting "the sieving directly with p = 2."

Links

Table of n, a(n) for n=1..55.

G. Michon, Ulam's lucky numbers and ludic numbers Numericana.com

Mathematica

lst = Range[2, 320, 2]; i = 1; While[i <= (len = Length@lst) && (k = lst[[i]]) <= len, lst = Drop[lst, {k, len, k}]; i++]; lst (* Alonso del Arte, based on Robert G. Wilson v's program for A045954, Aug 22 2011 *)

Crossrefs

Sequence in context: A278568 A250198 A260084 * A000952 A286636 A291783

Adjacent sequences: A194279 A194280 A194281 * A194283 A194284 A194285

Keyword

nonn,easy

Author

Alonso del Arte, Aug 22 2011

Status

approved