A061945 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, 29, 53, 110, 177, 237, 255, 2260, 3214, 4313, 4563, 7595, 20220, 35139, 167134, 180319, 186885, 315850, 439975, 559740, 4393188, 8414132, 8434510

Offset

1,2

Comments

This sequence differs from A029509 in that all least significant zeros are removed before concatenation.

No more terms < 10^7. - Lars Blomberg, Oct 22 2011

Links

Table of n, a(n) for n=1..34.

Index entries for related sequences

Example

See A061931 for example.

Mathematica

b = 16; c = {}; Select[Range[10^4], Divisible[FromDigits[c = Join[c, IntegerDigits[IntegerReverse[#, b], b]], b], #] &] (* Robert Price, Mar 08 2020 *)

Prog

(PARI) lista(nn, m=16) = my(s, t); for(k=1, nn, s=k/m^valuation(k, m); while(s, t=t*m+s%m; s\=m); if(t%k==0, print1(k, ", "))); \\ Jinyuan Wang, Dec 05 2020

Crossrefs

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

Sequence in context: A232823 A329469 A018412 * A029509 A364541 A048645

Adjacent sequences: A061942 A061943 A061944 * A061946 A061947 A061948

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; Aug 25 2002

a(32)-a(34) from Lars Blomberg, Oct 22 2011

Status

approved