login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Number of distinct base-16 digits of n.
2

%I #15 Jul 09 2023 02:22:45

%S 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,

%T 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,

%U 2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,2,2,2,2,2

%N Number of distinct base-16 digits of n.

%C 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

%p A043543 := proc(n)

%p convert(convert(n,base,16),set) ;

%p nops(%) ;

%p end proc: # _R. J. Mathar_, Jul 08 2023

%t Table[Length[Union[IntegerDigits[n,16]]],{n,90}] (* _Harvey P. Dale_, Jul 23 2013 *)

%Y Differs from A297784.

%K nonn,base

%O 1,16

%A _Clark Kimberling_