A029526 - OEIS

A029526

Numbers k such that k divides the (left) concatenation of all numbers <= k written in base 9 (most significant digit on right).

1, 13, 16, 224, 320, 355, 800, 7856, 8720, 11683, 18829, 36464, 42544, 159125

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OFFSET

1,2

COMMENTS

This sequence differs from A061962 in that all least significant zeros are removed before concatenation.

No more terms < 10^7. - Lars Blomberg, Sep 09 2011

LINKS

Table of n, a(n) for n=1..14.

Index entries for related sequences

EXAMPLE

See A029519 for example.

MATHEMATICA

b = 9; 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=9) = 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: A103230 A217179 A107081 * A219949 A173632 A061060

Adjacent sequences: A029523 A029524 A029525 * A029527 A029528 A029529

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

STATUS

approved