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

Author

Alonso del Arte, Aug 22 2011

Keywords

• nonn
• easy

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

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

Programs

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 *)