A349833 - OEIS

%I #19 Jan 08 2022 15:40:39

%S 0,2,10,14,22,24,28,36,38,44,50,58,60,62,66,68,74,76,82,84,92,94,96,

%T 98,106,110,118,120,122,132,134,136,140,154,156,158,162,170,176,178,

%U 186,196,198,206,210,214,216,222,228,234,244,246,252,258,260,262,264,268,274,284,286

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

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

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

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

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

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

%C 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.

%H N. J. A. Sloane, <a href="/A349833/b349833.txt">Table of n, a(n) for n = 1..2275</a>

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

%Y A230624 is a subsequence.

%Y A row of A350601.

%K nonn,base

%O 1,2

%A _N. J. A. Sloane_, Jan 07 2022