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Number of runs in base-5 representation of n.
2

%I #9 Feb 04 2018 12:35:38

%S 1,1,1,1,1,2,1,2,2,2,2,2,1,2,2,2,2,2,1,2,2,2,2,2,1,2,3,3,3,3,2,1,2,2,

%T 2,3,3,2,3,3,3,3,3,2,3,3,3,3,3,2,2,3,3,3,3,3,2,3,3,3,2,2,1,2,2,3,3,3,

%U 2,3,3,3,3,3,2,2,3,3,3,3,3,2,3,3,3,3,3,2,3,3

%N Number of runs in base-5 representation of n.

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

%t b = 5; s[n_] := Length[Split[IntegerDigits[n, b]]];

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

%Y Cf. A297773 (number of distinct runs), A297770.

%K nonn,base

%O 0,6

%A _Clark Kimberling_

%E Updated by _Clark Kimberling_, Feb 03 2018