A029496 Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 3 (most significant digit on right).

1, 7, 8, 112, 424, 595, 1997, 2336, 2455, 33265, 2475701, 9363208, 15402464

Offset: 1

Author

Olivier Gérard

Keywords

• nonn
• base
• more

Comments

This sequence differs from A061932 in that all least significant zeros are kept during concatenation.

No more terms < 10^7. [Lars Blomberg, Oct 02 2011]

Examples

			See A029495 for example.
		

Links

• Index entries for related sequences

Crossrefs

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

Programs

Mathematica

b = 3; c = {}; Select[Range[10^4], Divisible[FromDigits[
c = Join[c, Reverse[IntegerDigits[#, b]]], b], #] &] (* Robert Price, Mar 12 2020 *)

Extensions

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

Additional comments from Larry Reeves (larryr(AT)acm.org), May 25 2001

a(10) from Larry Reeves, Jan 16 2002

a(11)-a(12) from Lars Blomberg, Oct 02 2011

a(13) from Chai Wah Wu, Jul 28 2020