A061939 Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 10 (most significant digit on right).

1, 2, 3, 5, 6, 9, 99, 153, 189, 238, 252, 323, 444, 539, 927, 3099, 3753, 4224, 5451, 8967, 44544, 53673, 97119, 1423719, 3860793, 4773591

Offset

1,2

Comments

This sequence differs from A029503 in that all least significant zeros are removed before concatenation.

No more terms < 10^7. - Lars Blomberg, Oct 20 2011

Links

Table of n, a(n) for n=1..26.

Index entries for related sequences

Example

See A061931 for example.

Mathematica

b = 10; c = {}; Select[Range[10^4], Divisible[FromDigits[c = Join[c, IntegerDigits[IntegerReverse[#, b], b]], b], #] &] (* Robert Price, Mar 08 2020 *)

Prog

(PARI) lista(nn, m=10) = my(s, t); for(k=1, nn, s=k/m^valuation(k, m); while(s, t=t*m+s%m; s\=m); 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: A108861 A294634 A051896 * A029503 A133139 A162309

Adjacent sequences: A061936 A061937 A061938 * A061940 A061941 A061942

Keyword

nonn,base,more

Author

Larry Reeves (larryr(AT)acm.org), May 24 2001

Extensions

Edited and updated by Larry Reeves (larryr(AT)acm.org), Apr 12 2002

a(24)-a(26) from Lars Blomberg, Oct 20 2011

Status

approved