A181060 a(n) is the smallest positive multiple of n whose decimal digits are all 0, 1 or 2.

1, 2, 12, 12, 10, 12, 21, 112, 12222, 10, 11, 12, 221, 112, 120, 112, 102, 12222, 1102, 20, 21, 22, 1012, 120, 100, 1222, 21222, 112, 1102, 120, 2201, 1120, 1122, 102, 210, 22212, 111, 1102, 10101, 120, 11111, 210, 2021, 220, 122220, 1012, 1222, 1200

Offset: 1

Author

Herman Beeksma, Oct 01 2010

Keywords

• base
• easy
• nonn

Examples

			a(9)=12222 because 12222 is the smallest multiple of 9 whose decimal digits are all 0, 1 or 2.
		

Links

• David A. Corneth, Table of n, a(n) for n = 1..10000
• Inspired by Project Euler, Problem 303: Multiples with small digits.

Crossrefs

a(n)/n yields sequence A181061.

Programs

Mathematica

With[{pms=Rest[Flatten[FromDigits/@Tuples[{0,1,2},6]]]},Table[ SelectFirst[ pms, Divisible[ #,n]&],{n,50}]] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Aug 24 2017 *)

PARI

a(n) = my(k=1); while(vecmax(digits(k*n))>2, k++); k*n; \\ Michel Marcus, May 17 2020