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A297778 Number of distinct runs in base-10 digits of n.

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%I A297778 #4 Feb 04 2018 12:43:06
%S A297778 1,1,1,1,1,1,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,1,2,2,2,2,2,2,2,2,2,2,1,2,
%T A297778 2,2,2,2,2,2,2,2,2,1,2,2,2,2,2,2,2,2,2,2,1,2,2,2,2,2,2,2,2,2,2,1,2,2,
%U A297778 2,2,2,2,2,2,2,2,1,2,2,2,2,2,2,2,2,2
%N A297778 Number of distinct runs in base-10 digits of n.
%C A297778 Every positive integers occurs infinitely many times.  See A297770 for a guide to related sequences. A043562(n) = a(n) for n=1..100, but not for n=101.
%H A297778 Clark Kimberling, <a href="/A297778/b297778.txt">Table of n, a(n) for n = 1..10000</a>
%e A297778 14! in base-10: 2,7,0,0,1,7,3,0,1,3,0,0; ten runs, of which 6 are distinct, so that a(14!) = 6.
%t A297778 b = 10; s[n_] := Length[Union[Split[IntegerDigits[n, b]]]]
%t A297778 Table[s[n], {n, 1, 200}]
%Y A297778 Cf. A043562 (number of runs, not necessarily distinct), A297770.
%K A297778 nonn,base,easy
%O A297778 1,10
%A A297778 _Clark Kimberling_, Feb 03 2018