A061946 Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 17 (most significant digit on right).

1, 53, 64, 192, 535, 1017, 1888, 23968, 203008, 9231277

Offset

1,2

Comments

This sequence differs from A029510 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..10.

Index entries for related sequences

Example

See A061931 for example.

Mathematica

b = 17; c = {}; Select[Range[10^4], Divisible[FromDigits[c = Join[c, IntegerDigits[IntegerReverse[#, b], b]], b], #] &] (* Robert Price, Mar 08 2020 *)

Prog

(PARI) lista(nn) = my(s, t); for(k=1, nn, s=k/17^valuation(k, 17); while(s, t=t*17+s%17; s\=17); 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: A036268 A326169 A097415 * A039531 A369101 A115936

Adjacent sequences: A061943 A061944 A061945 * A061947 A061948 A061949

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(10) from Lars Blomberg, Oct 22 2011

Status

approved