A029527 Numbers k such that k divides the (left) concatenation of all numbers <= k written in base 10 (most significant digit on right).

1, 3, 9, 27, 99, 471, 60237, 1028301, 1085427, 2851947

Offset

1,2

Comments

This sequence differs from A061963 in that all least significant zeros are removed before concatenation.

No more terms < 10^7. - Lars Blomberg, Sep 12 2011

Links

Table of n, a(n) for n=1..10.

Index entries for related sequences

Example

See A029519 for example.

Mathematica

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

Prog

(PARI) lista(nn, m=10) = my(c, s, t); for(k=1, nn, t+=m^c*s=fromdigits(Vecrev(digits(k, m)), m); c+=logint(s, m)+1; 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: A146573 A148927 A148928 * A325047 A148929 A148930

Adjacent sequences: A029524 A029525 A029526 * A029528 A029529 A029530

Keyword

nonn,base,more

Author

Olivier Gérard

Extensions

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

Additional comments from Larry Reeves (larryr(AT)acm.org), May 25 2001. a(7) from Larry Reeves (larryr(AT)acm.org) Jan 14 2002

a(8)-a(10) from Lars Blomberg, Sep 11 2011

Status

approved