A029509 Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 16 (most significant digit on right).

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 25, 45, 163, 234, 661, 1034, 1191, 1415, 1835, 2094, 3143, 3284, 3459, 3638, 3915, 5215, 16620, 18505, 18790, 31965, 36600, 140835, 175302, 187170, 190545, 283115, 6926085, 7607655

Offset

1,2

Comments

This sequence differs from A061945 in that all least significant zeros are kept during concatenation.

No more terms < 10^7. [Lars Blomberg, Oct 09 2011]

Links

Table of n, a(n) for n=1..39.

Index entries for related sequences

Example

See A029495 for example.

Mathematica

b = 16; c = {}; Select[Range[10^4], Divisible[FromDigits[c = Join[c, Reverse[IntegerDigits[#, b]]], b], #] &] (* Robert Price, Mar 13 2020 *)

Crossrefs

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

Sequence in context: A329469 A018412 A061945 * A364541 A048645 A173786

Adjacent sequences: A029506 A029507 A029508 * A029510 A029511 A029512

Keyword

nonn,base

Author

Olivier Gérard

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(38)-a(39) from Lars Blomberg, Oct 09 2011

Status

approved