OFFSET
1,2
COMMENTS
Conjecture: No term is zero. The proof should be simple.
There are no zeros for n<=500. - Sean A. Irvine, Apr 10 2013
The conjecture is true: There are 9*10^(n-1) n-digit numbers, meaning at least floor(9*10^(n-1)/n) n-digit multiples of n. There are binomial(n+9, 9) multisets of n digits. Thus, by the pigeonhole principle, one of these multisets contains at least ceiling(floor(9*10^(n-1)/n)/binomial(n+9, 9)) multiples of n, and this number is at least n whenever n > 3. - James Rayman, Feb 14 2023
EXAMPLE
a(4) = 1004; the multiples of 4 arising as a digit permutation are 1004, 1040, 1400, 4100.
CROSSREFS
KEYWORD
base,easy,nonn
AUTHOR
Amarnath Murthy, Nov 07 2005
EXTENSIONS
More terms from Sean A. Irvine, Apr 10 2013
STATUS
approved