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

1,16

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

Links

Table of n, a(n) for n=1..90.

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 *)

Crossrefs

Differs from A297784.

Sequence in context: A043567 A297784 A043568 * A237684 A130634 A274828

Adjacent sequences: A043540 A043541 A043542 * A043544 A043545 A043546

Keyword

nonn,base

Author

Clark Kimberling

Status

approved