A061969 Numbers n such that n divides the (left) concatenation of all numbers <= n written in base 16 (most significant digit on right).

1, 3, 5, 9, 15, 25, 41, 1149, 1755, 2009, 2815, 6981, 19117, 65515, 218715, 315735, 405845, 1511139, 2165055, 7076685

Offset

1,2

Comments

This sequence differs from A029533 in that all least significant zeros are kept during concatenation.

No more terms < 8*10^6.

Links

Table of n, a(n) for n=1..20.

Index entries for related sequences

Example

See A061955 for example.

Mathematica

b = 16; c = {}; Select[Range[10^4], Divisible[FromDigits[c = Join[Reverse[IntegerDigits[#, b]], c], b], #] &] (* Robert Price, Mar 09 2020 *)

Crossrefs

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

Sequence in context: A001595 A092369 A298340 * A034084 A018342 A029485

Adjacent sequences: A061966 A061967 A061968 * A061970 A061971 A061972

Keyword

nonn,base,more

Author

Larry Reeves (larryr(AT)acm.org), May 24 2001

Extensions

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

a(18)-a(20) from Lars Blomberg, Aug 06 2011

Status

approved