login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A061948
Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 19 (most significant digit on right).
1
1, 3, 9, 27, 29, 36, 39, 53, 72, 108, 180, 189, 360, 900, 1008, 1885, 1899, 2877, 3120, 4272, 6975, 14319, 16203, 18724, 19959, 24777, 30071, 38376, 84748, 85053, 90843, 108412, 121996, 155556, 327321, 366128, 545949, 727236, 1332360, 1847072, 3090195, 3229872
OFFSET
1,2
COMMENTS
This sequence differs from A029512 in that all least significant zeros are removed before concatenation.
No more terms < 10^7. [Lars Blomberg, Oct 23 2011]
EXAMPLE
See A061931 for example.
MATHEMATICA
b = 19; c = {}; Select[Range[10^4], Divisible[FromDigits[c = Join[c, IntegerDigits[IntegerReverse[#, b], b]], b], #] &] (* Robert Price, Mar 08 2020 *)
KEYWORD
nonn,base
AUTHOR
Larry Reeves (larryr(AT)acm.org), May 24 2001
EXTENSIONS
Edited and updated by Larry Reeves (larryr(AT)acm.org), Apr 12 2002; Aug 25, 2002
a(40)-a(42) from Lars Blomberg, Oct 23 2011
STATUS
approved