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Numbers k that divide the (left) concatenation of all numbers <= k written in base 16 (most significant digit on left).
1

%I #29 Jun 29 2024 10:51:55

%S 1,3,5,9,15,25,75,257,321,435,795,1285,2313,8523,39759,60855,91209,

%T 247875,251385,2695341,5095725,9529505,12179807,12341125,57965805,

%U 1380206235,15616692345,22548618825,26313971049

%N Numbers k that divide the (left) concatenation of all numbers <= k written in base 16 (most significant digit on left).

%C No other terms below 3*10^10.

%H <a href="/index/N#concat">Index entries for related sequences</a>

%e For k=3, we have 321_16 which is 801, and 801 = 3*267.

%t b = 16; c = {}; Select[Range[10^4], Divisible[FromDigits[c = Join[IntegerDigits[#, b], c], b], #] &] (* _Robert Price_, Mar 12 2020 *)

%Y Cf. A029447-A029470, A029471-A029484, A029486-A029494, A029495-A029518, A029519-A029542, A061931-A061954, A061955-A061978.

%K nonn,base,more

%O 1,2

%A _Olivier GĂ©rard_

%E More terms from Andrew Gacek (andrew(AT)dgi.net), Feb 21 2000

%E More terms from Larry Reeves (larryr(AT)acm.org), Aug 27 2001

%E Edited and updated by Larry Reeves (larryr(AT)acm.org), Apr 12 2002

%E a(20)-a(25) from _Max Alekseyev_, May 15 2011

%E a(26)-a(29) from _Jason Yuen_, Jun 29 2024