

A113599


Least ndigit multiple of n whose digit permutations yield at least n distinct multiples of n, or 0 if no such number exists.


0



1, 20, 102, 1004, 10005, 100002, 1000013, 10000008, 100000008, 1000000010, 10000000010, 100000000008, 1000000000012, 10000000000004, 100000000000005, 1000000000000016, 10000000000000016, 100000000000000008, 1000000000000000018
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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


LINKS

Table of n, a(n) for n=1..19.


EXAMPLE

a(4) = 1004 the multiples of 4 arising as a digit permutation are 1004,1040,1400,4100,...


CROSSREFS

Sequence in context: A039394 A043997 A297585 * A077757 A126859 A071334
Adjacent sequences: A113596 A113597 A113598 * A113600 A113601 A113602


KEYWORD

base,easy,nonn


AUTHOR

Amarnath Murthy, Nov 07 2005


EXTENSIONS

More terms from Sean A. Irvine, Apr 10 2013


STATUS

approved



