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Number of distinct runs in base-12 digits of n.
3

%I #4 Feb 04 2018 12:42:29

%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

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

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

%H Clark Kimberling, <a href="/A297780/b297780.txt">Table of n, a(n) for n = 1..10000</a>

%e 3006865 in base-12: 1,0,1,0,1,0,1; seven runs, of which 2 are distinct, so that a(3006865) = 2.

%t b = 12; s[n_] := Length[Union[Split[IntegerDigits[n, b]]]]

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

%Y Cf. A043564 (number of runs, not necessarily distinct), A297770.

%K nonn,base,easy

%O 1,12

%A _Clark Kimberling_, Feb 03 2018