A043543 Number of distinct base-16 digits of n.

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2

Offset: 1

Author

Clark Kimberling

Keywords

• nonn
• base

Comments

The first 1, 2, 3, 4,.. occur at n = 1, 16 (10_16), 258 (102_16), 4131 (1023_16), 66100 (10234_16), 1057605 (102345_16). Obviously numbers >16 appear never, so this list of records is finite. - R. J. Mathar, Jul 08 2023

Crossrefs

Differs from A297784.

Programs

Maple

A043543 := proc(n)
    convert(convert(n,base,16),set) ;
    nops(%) ;
end proc: # R. J. Mathar, Jul 08 2023

Mathematica

Table[Length[Union[IntegerDigits[n,16]]],{n,90}] (* Harvey P. Dale, Jul 23 2013 *)