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

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

Offset

1,2

Comments

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

Links

Table of n, a(n) for n=1..10.

S. Colton, Refactorable Numbers - A Machine Invention, J. Integer Sequences, Vol. 2, 1999, #2.

S. Colton, HR - Automatic Theory Formation in Pure Mathematics

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 *)

Prog

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

Crossrefs

Cf. A007809, A043537, A086069.

Sequence in context: A336401 A037503 A037680 * A158242 A147636 A191014

Adjacent sequences: A038375 A038376 A038377 * A038379 A038380 A038381

Keyword

nonn,fini,full,base,nice

Author

N. J. A. Sloane

Extensions

Offset fixed by Reinhard Zumkeller, Aug 25 2009

Status

approved