A098395 a(n) is the next larger integer including the highest digit of a(n-1), a(1) = 1.

1, 10, 11, 12, 20, 21, 22, 23, 30, 31, 32, 33, 34, 40, 41, 42, 43, 44, 45, 50, 51, 52, 53, 54, 55, 56, 60, 61, 62, 63, 64, 65, 66, 67, 70, 71, 72, 73, 74, 75, 76, 77, 78, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 109, 119, 129, 139, 149

Offset: 1

Author

Eric Angelini, Oct 26 2004

Keywords

• nonn
• base
• easy

Examples

			a(10) = 31 which has the largest digit (in base 10) 3. So a(11) must contain a 3 and be larger than 31. The least positive integer with these properties is 32. So a(10 + 1) = a(11) = 1. - _David A. Corneth_, Jul 11 2020
		

Crossrefs

Cf. A011539.

Programs

Mathematica

nli[n_]:=Module[{x=Max[IntegerDigits[n]],k=n+1},While[FreeQ[ IntegerDigits[ k],x],k++];k]; NestList[nli,1,70] (* Harvey P. Dale, Jul 11 2020 *)

Formula

a(n) = A011539(n - 44) for n >= 53. - David A. Corneth, Jul 11 2020

Extensions

Name corrected by David A. Corneth, Jul 11 2020