A061604 Smallest multiple of n containing all 10 digits from 0 to 9.

1023456789, 1023456798, 1023456789, 1023457896, 1023467895, 1023456798, 1023456798, 1023457896, 1023456789, 1234567890, 1024375869, 1023457896, 1023456798, 1023456798, 1023467895, 1023457968, 1023457698, 1023456798

Offset

1,1

Comments

It can be shown that for every positive integer there exist infinitely many multiples containing all the 10 digits.

Links

Alois P. Heinz, Table of n, a(n) for n = 1..1000

Mathematica

With[{t=Sort[FromDigits[Join[{1}, #]]&/@Permutations[{2, 3, 4, 5, 6, 7, 8, 9, 0}]]}, Flatten[ Table[Select[t, Divisible[#, n]&, 1], {n, 20}]]] (* Harvey P. Dale, Aug 26 2014 *)

Crossrefs

Cf. A171102.

Sequence in context: A218770 A292569 A204045 * A302096 A171102 A050278

Adjacent sequences: A061601 A061602 A061603 * A061605 A061606 A061607

Keyword

nonn,base,easy

Author

Amarnath Murthy, May 19 2001

Extensions

Corrected and extended by Patrick De Geest, Jun 04 2001

Status

approved