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Number of runs in base-16 representation of n.
3

%I #13 Apr 24 2021 01:59:31

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

%T 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,

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

%N Number of runs in base-16 representation of n.

%C Differs from A043543 if we consider for example numbers which are palindromic in base 16 with 3 (2 distinct) digits. - _R. J. Mathar_, Oct 20 2008

%C Every positive integers occurs infinitely many times. See A297770 for a guide to related sequences. - _Clark Kimberling_, Feb 04 2018

%H Clark Kimberling, <a href="/A043568/b043568.txt">Table of n, a(n) for n = 0..10000</a>

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

%t Table[s[n], {n, 0, 200}]

%Y Cf. A297783 (number of distinct runs), A297770.

%K nonn,base

%O 0,17

%A _Clark Kimberling_