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A297776 Number of distinct runs in base-8 digits of n. 3


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

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

%U 3,3,3,2,1,2,2,2,2,2,2,3,2,2,3,3,3,3

%N Number of distinct runs in base-8 digits of n.

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

%H Clark Kimberling, <a href="/A297776/b297776.txt">Table of n, a(n) for n = 1..10000</a>

%e 1262656 in base-8: 1,0,0,1,0,0,1; five runs, of which 2 are distinct, so that a(1262656) = 2.

%t b = 8; s[n_] := Length[Union[Split[IntegerDigits[n, b]]]]

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

%Y Cf. A043560 (number of runs, not necessarily distinct), A297770, A043535.

%K nonn,base,easy

%O 1,8

%A _Clark Kimberling_, Jan 29 2018

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Last modified June 19 15:58 EDT 2021. Contains 345144 sequences. (Running on oeis4.)