A029530 Numbers k such that k divides the (left) concatenation of all numbers <= k written in base 13 (most significant digit on right and removing all least significant zeros before concatenation).

1, 3, 9, 24, 48, 80, 96, 184, 549, 1083, 1392, 1624, 5085, 15968, 16000, 17763, 144843, 156200, 695808, 854904, 1001808, 1960016, 2002776, 2961952

Offset

1,2

Comments

This sequence differs from A061966 in that all least significant zeros are removed before concatenation.

No more terms < 10^7. - Lars Blomberg, Sep 15 2011

Links

Table of n, a(n) for n=1..24.

Index entries for related sequences

Example

See A029519 for example.

Mathematica

b = 13; 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=13) = 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: A024314 A120012 A352640 * A301740 A227018 A244504

Adjacent sequences: A029527 A029528 A029529 * A029531 A029532 A029533

Keyword

nonn,base,more,changed

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(19)-a(24) from Lars Blomberg, Sep 15 2011

Status

approved