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A029526
Numbers k such that k divides the (left) concatenation of all numbers <= k written in base 9 (most significant digit on right).
1
1, 13, 16, 224, 320, 355, 800, 7856, 8720, 11683, 18829, 36464, 42544, 159125
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
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
KEYWORD
nonn,base,more
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