A029528 Numbers k such that k divides the (left) concatenation of all numbers <= k written in base 11 (most significant digit on right).

1, 5, 20, 32, 815, 1325, 5600, 7889, 34385, 138724, 897165, 1409360, 2039049, 2182992, 9174075

Offset

1,2

Comments

This sequence differs from A061964 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..15.

Index entries for related sequences

Example

See A029519 for example.

Mathematica

b = 11; 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=11) = 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: A074219 A178612 A063133 * A101867 A003339 A047716

Adjacent sequences: A029525 A029526 A029527 * A029529 A029530 A029531

Keyword

nonn,base,more

Author

Olivier Gérard

Extensions

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

Additional comments and more terms from Larry Reeves (larryr(AT)acm.org), May 25 2001

a(11)-a(15) from Lars Blomberg, Sep 12 2011

Status

approved