A029485 Numbers k that divide the (left) concatenation of all numbers <= k written in base 16 (most significant digit on left).

1, 3, 5, 9, 15, 25, 75, 257, 321, 435, 795, 1285, 2313, 8523, 39759, 60855, 91209, 247875, 251385, 2695341, 5095725, 9529505, 12179807, 12341125, 57965805, 1380206235, 15616692345, 22548618825, 26313971049

Offset

1,2

Comments

No other terms below 3*10^10.

Links

Table of n, a(n) for n=1..29.

Index entries for related sequences

Example

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

Mathematica

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

Crossrefs

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

Sequence in context: A061969 A034084 A018342 * A291153 A147087 A140190

Adjacent sequences: A029482 A029483 A029484 * A029486 A029487 A029488

Keyword

nonn,base,more

Author

Olivier Gérard

Extensions

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

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

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

a(20)-a(25) from Max Alekseyev, May 15 2011

a(26)-a(29) from Jason Yuen, Jun 29 2024

Status

approved