A061760 Least multiple of n that is greater than n, not equal to a power of 10 times n and contains all the digits of n.

11, 12, 33, 24, 15, 36, 77, 48, 99, 110, 121, 132, 143, 154, 105, 176, 187, 108, 912, 120, 126, 242, 253, 264, 125, 286, 297, 728, 928, 330, 341, 352, 363, 374, 315, 396, 703, 836, 936, 240, 164, 294, 344, 484, 405, 644, 1457, 384, 294, 150, 153, 572, 583

Offset: 1

Author

Amarnath Murthy, May 20 2001

Keywords

• nonn
• base
• easy

Examples

			a(14) = 154 = 14*11 and contains the digits 1 and 4.
		

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..1000 [Corrected by Sean A. Irvine]
• Sean A. Irvine, Java program (github)

Programs

Mathematica

lmn[n_]:=Module[{k=2,dcn=DigitCount[n]},While[Min[DigitCount[k*n]-dcn]<0||Divisible[k,10],k++];k*n]; Array[lmn,60] (* Harvey P. Dale, May 02 2015 *) (* WARNING Sometimes incorrect for n>=102, Sean A. Irvine, Mar 24 2023 *)

Extensions

Corrected and extended by Matthew Conroy, May 28 2001