A029510 Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 17 (most significant digit on right).

1, 19, 27, 45, 64, 111, 192, 243, 320, 1152, 2112, 3456, 10747, 11328, 13824, 16896, 18909, 177408, 306335, 338369, 414336, 423552, 1176203, 2965056

Offset: 1

Author

Olivier Gérard

Keywords

• nonn
• base
• more

Comments

This sequence differs from A061946 in that all least significant zeros are kept during concatenation.

No more terms < 10^7. [Lars Blomberg, Oct 09 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 = 17; c = {}; Select[Range[10^4], Divisible[FromDigits[c = Join[c, Reverse[IntegerDigits[#, b]]], b], #] &] (* Robert Price, Mar 13 2020 *)

Extensions

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

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

a(22)-a(24) from Lars Blomberg, Oct 09 2011