cp's OEIS Frontend

A029484 Numbers k that divide the (left) concatenation of all numbers <= k written in base 15 (most significant digit on left).

%I A029484 #33 Jun 05 2024 04:24:47
%S A029484 1,7,32,49,61,91,169,224,791,1568,10304,34112,160832,733376,966721,
%T A029484 1127392,4197571,10914848,13250272,15000608,62776133,70412363,
%U A029484 82053664,138391456,198795233,211659392,272510336,484441216,1448538133,1846451173,2444373281,2681439341,11942145152,22206078181,25210297984
%N A029484 Numbers k that divide the (left) concatenation of all numbers <= k written in base 15 (most significant digit on left).
%C A029484 No other terms below 3*10^10.
%C A029484 No multiple of 3 or 5 can be in this sequence, since the numbers resulting from these concatenations are all congruent to 1 mod 15. - _Alonso del Arte_, Sep 16 2016
%H A029484 <a href="/index/N#concat">Index entries for related sequences</a>
%e A029484 In base 15, 7654321 is 84557956 in decimal, and we verify that this is a multiple of 7, as 84557956/7 = 12079708. Hence 7 is in the sequence.
%e A029484 87654321 base 15 is 1451432956 and 1451432956/8 = 181429119.5. Hence 8 is not in the sequence.
%t A029484 Select[Range[10^3], Divisible[FromDigits[#, 15] &@ Flatten@ Reverse@ IntegerDigits[Range@ #, 15], #] &] (* _Michael De Vlieger_, Sep 16 2016 *)
%Y A029484 Cf. A029447-A029470 (in particular, A029460), A029471-A029494, A029495-A029518, A029519-A029542, A061931-A061954, A061955-A061978.
%K A029484 nonn,base
%O A029484 1,2
%A A029484 _Olivier Gérard_
%E A029484 More terms from Larry Reeves (larryr(AT)acm.org), Jun 01 2001
%E A029484 Edited and updated by Larry Reeves (larryr(AT)acm.org), Apr 12 2002
%E A029484 a(14)-a(23) from _Max Alekseyev_, May 15 2011
%E A029484 a(24)-a(35) from _Jason Yuen_, Jun 05 2024