A349833 Even numbers that are "generated" (in Kaprekar's sense) in all four bases 2, 4, 6, and 8.

0, 2, 10, 14, 22, 24, 28, 36, 38, 44, 50, 58, 60, 62, 66, 68, 74, 76, 82, 84, 92, 94, 96, 98, 106, 110, 118, 120, 122, 132, 134, 136, 140, 154, 156, 158, 162, 170, 176, 178, 186, 196, 198, 206, 210, 214, 216, 222, 228, 234, 244, 246, 252, 258, 260, 262, 264, 268, 274, 284, 286

Offset: 1

Author

N. J. A. Sloane, Jan 07 2022

Keywords

• nonn
• base

Comments

Using Max Alekseyev's PARI "Gen" program (see A010061), we run

vector(500,k,length(Gen(k,2))),

vector(500,k,length(Gen(k,4))),

vector(500,k,length(Gen(k,6))),

vector(500,k,length(Gen(k,8))),

to find the numbers that are generated in bases 2, 4, 6, and 8, and then take the even numbers that are common to all four lists.

Links

• N. J. A. Sloane, Table of n, a(n) for n = 1..2275

Crossrefs

Cf. A003052, A010061, A228082, A349829, A349830, A349831, A349832.

A230624 is a subsequence.

A row of A350601.