A038378 Integers which have more distinct digits than any smaller number.

0, 10, 102, 1023, 10234, 102345, 1023456, 10234567, 102345678, 1023456789

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• fini
• full
• base
• nice

Comments

Or: Smallest number with exactly n distinct digits. - M. F. Hasler, May 04 2017

Links

• S. Colton, Refactorable Numbers - A Machine Invention, J. Integer Sequences, Vol. 2, 1999, #2.
• S. Colton, HR - Automatic Theory Formation in Pure Mathematics

Crossrefs

Cf. A007809, A043537, A086069.

Programs

Mathematica

Prepend[NestList[FromDigits[Append[IntegerDigits[#],Last[Union[IntegerDigits[#]]]+1]]&,10,8],0] (* Ivan N. Ianakiev, May 10 2015 *)
Join[{0},Table[FromDigits[PadRight[{1,0},n,{1,0,2,3,4,5,6,7,8,9}]],{n,2,10}]] (* Harvey P. Dale, Sep 27 2016 *)

PARI

A038378(n)=sum(i=1,n--,10^(n-i)*if(i>1,i,10)) \\ M. F. Hasler, May 04 2017

Extensions

Offset fixed by Reinhard Zumkeller, Aug 25 2009