A061940 Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 11 (most significant digit on right).

1, 5, 17, 20, 35, 40, 60, 75, 113, 120, 125, 395, 512, 1204, 2285, 5451, 5648, 12736, 36547, 113675, 1073605, 1466089, 3610208, 4076745

Offset

1,2

Comments

This sequence differs from A029504 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..24.

Index entries for related sequences

Example

See A061931 for example.

Mathematica

b = 11; c = {}; Select[Range[10^4], Divisible[FromDigits[c = Join[c, IntegerDigits[IntegerReverse[#, b], b]], b], #] &] (* Robert Price, Mar 08 2020 *)

Prog

(PARI) lista(nn) = my(t=[]); for(k=1, nn, t=concat(t, Vecrev(digits(k/11^valuation(k, 11), 11))); if(Mod(fromdigits(t, 11), 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: A023711 A045119 A045095 * A038470 A043003 A246329

Adjacent sequences: A061937 A061938 A061939 * A061941 A061942 A061943

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

Status

approved