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 A297770 Number of distinct runs in base-2 digits of n. 55
 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 3, 2, 3, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 2, 3, 3, 2, 3, 4, 3, 3, 3, 2, 3, 4, 3, 3, 3, 2, 3, 4, 2, 4, 3, 2, 3, 2, 3, 3, 3, 2, 3, 2, 1, 2, 2, 3, 3, 3, 3, 4, 3, 3, 2, 3, 4, 3, 4, 4, 3, 3, 3, 3, 4, 3, 2, 3 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Every positive integers occurs infinitely many times. *** Guide to related sequences: Base b # runs # distinct runs 2 A005811 A297770 3 A043555 A297771 4 A043556 A297772 5 A043557 A297773 6 A043558 A297774 7 A043559 A297775 8 A043560 A297776 9 A043561 A297777 10 A043562 A297778 11 A043563 A297779 12 A043564 A297780 13 A043565 A297781 14 A043566 A297782 15 A043567 A297783 16 A043568 A297784 LINKS Clark Kimberling, Table of n, a(n) for n = 1..10000 EXAMPLE 27 in base-2: 1,1,0,1,1; three runs, of which 2 are distinct: 0 and 11, so that a(27) = 2. MATHEMATICA b = 2; s[n_] := Length[Union[Split[IntegerDigits[n, b]]]] Table[s[n], {n, 1, 200}] CROSSREFS Cf. A005811 (number of runs, not necessarily distinct). Sequence in context: A160520 A235708 A353929 * A330617 A343240 A145866 Adjacent sequences: A297767 A297768 A297769 * A297771 A297772 A297773 KEYWORD nonn,base,easy AUTHOR Clark Kimberling, Jan 26 2018 STATUS approved

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Last modified December 4 16:44 EST 2023. Contains 367563 sequences. (Running on oeis4.)