login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

Number of distinct runs in base-16 digits of n.
3

%I #4 Feb 04 2018 12:42:56

%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

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

%C Every positive integers occurs infinitely many times. See A297770 for a guide to related sequences.

%H Clark Kimberling, <a href="/A297784/b297784.txt">Table of n, a(n) for n = 1..10000</a>

%e 17830144 in base-16: 1,1,0,1,1,0,0; four runs, of which 3 are distinct, so that a(17830144) = 3.

%t b = 16; s[n_] := Length[Union[Split[IntegerDigits[n, b]]]]

%t Table[s[n], {n, 1, 200}]

%Y Cf. A043568 (number of runs, not necessarily distinct), A297770.

%K nonn,base,easy

%O 1,16

%A _Clark Kimberling_, Feb 03 2018