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-12 digits of n.
1

%I #14 Apr 24 2021 21:30:21

%S 1,1,1,1,1,1,1,1,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,1,2,2,2,2,2,2,2,2,

%T 2,2,2,2,1,2,2,2,2,2,2,2,2,2,2,2,2,1,2,2,2,2,2,2,2,2,2,2,2,2,1,2,2,2,

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

%N Number of distinct base-12 digits of n.

%H Vincenzo Librandi, <a href="/A043539/b043539.txt">Table of n, a(n) for n = 1..5000</a>

%F From _Michael De Vlieger_, Aug 14 2017: (Start)

%F a(11) = 1 since 11 in base 12 is written with a single digit.

%F a(13) = 1 since 13 in base 12 is written "11".

%F a(14) = 2 since 14 in base 12 is written "12".

%F a(146) is the first appearance of 3 in this sequence, since it is written "102" in base 12.

%F (End)

%t Table[Length[Select[DigitCount[n, 12], #>0&]], {n, 100}] (* _Vincenzo Librandi_, Aug 13 2017 *)

%o (PARI) a(n) = #Set(digits(n, 12)); \\ _Michel Marcus_, Aug 13 2017

%K nonn,base

%O 1,12

%A _Clark Kimberling_