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A297779 Number of distinct runs in base-11 digits of n. 3

%I #4 Feb 04 2018 12:42:06

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

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

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

%N Number of distinct runs in base-11 digits of n.

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

%H Clark Kimberling, <a href="/A297779/b297779.txt">Table of n, a(n) for n = 1..10000</a>

%e 11! in base-11: 2,0,5,9,4,0,10,0; eight runs, of which 6 are distinct, so that a(11!) = 6.

%t b = 11; s[n_] := Length[Union[Split[IntegerDigits[n, b]]]]

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

%Y Cf. A043563 (number of runs, not necessarily distinct), A297770.

%K nonn,base,easy

%O 1,11

%A _Clark Kimberling_, Feb 03 2018

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Last modified April 19 16:38 EDT 2024. Contains 371794 sequences. (Running on oeis4.)