A078248 Smallest multiple of n using only digits 0 and 9.

9, 90, 9, 900, 90, 90, 9009, 9000, 9, 90, 99, 900, 9009, 90090, 90, 90000, 99909, 90, 99009, 900, 9009, 990, 990909, 9000, 900, 90090, 999, 900900, 9909909, 90, 999099, 900000, 99, 999090, 90090, 900, 999, 990090, 9009, 9000, 99999, 90090, 9909909

Offset: 1

Author

Amarnath Murthy, Nov 23 2002

Keywords

• base
• nonn

Comments

a(n) = min{A097256(k): k > 0 and A097256(k) mod n = 0}. [Reinhard Zumkeller, Jan 10 2012]

Links

• Reinhard Zumkeller, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A004290, A078241-A078248, A079339, A096681-A096688.

Programs

Haskell

a078248 n = head [x | x <- tail a097256_list, mod x n == 0]
-- Reinhard Zumkeller, Jan 10 2012

Mathematica

With[{t=Flatten[Table[FromDigits[Join[{9},#]]&/@Tuples[{0,9},n],{n,0,6}]]},Flatten[Table[Select[t,Divisible[#,i]&,1],{i,50}]]] (* Harvey P. Dale, May 31 2014 *)

Extensions

More terms from Ray Chandler, Jul 12 2004