A029531 - OEIS

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A029531

Numbers k such that k divides the (left) concatenation of all numbers <= k written in base 14 (most significant digit on right).

1, 13, 55, 99, 167, 185, 195, 1921, 4979, 14859, 37605, 48005, 88569, 122223, 278403, 394433, 1979771, 2082769, 2352363, 7323381

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OFFSET

1,2

COMMENTS

This sequence differs from A061967 in that all least significant zeros are removed before concatenation.

No more terms < 10^7. - Lars Blomberg, Sep 17 2011

LINKS

Table of n, a(n) for n=1..20.

Index entries for related sequences

EXAMPLE

See A029519 for example.

MATHEMATICA

b = 14; 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=14) = 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: A071230 A027000 A198160 * A158485 A274973 A005902

Adjacent sequences: A029528 A029529 A029530 * A029532 A029533 A029534

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(17)-a(20) from Lars Blomberg, Sep 17 2011

STATUS

approved