A029536 Numbers n such that n divides the (left) concatenation of all numbers <= n written in base 19 (most significant digit on right).

1, 3, 9, 21, 28, 36, 48, 87, 100, 156, 189, 208, 300, 547, 999, 1155, 1395, 1524, 3267, 6867, 7663, 8880, 9295, 30021, 38740, 49861, 86427, 379248, 454269, 657860, 850824, 1589897, 3523500, 8855295

Offset

1,2

Comments

This sequence differs from A061972 in that all least significant zeros are removed before concatenation.

No more terms < 10^7. - Lars Blomberg, Sep 23 2011

Links

Table of n, a(n) for n=1..34.

Index entries for related sequences

Example

See A029519 for example.

Mathematica

b = 19; 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=19) = 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: A045590 A369768 A242740 * A331131 A089322 A182632

Adjacent sequences: A029533 A029534 A029535 * A029537 A029538 A029539

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(29)-a(34) from Lars Blomberg, Sep 23 2011

Status

approved