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A297772 Number of distinct runs in base-4 digits of n. 3
1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 3, 3, 2, 1, 2, 2, 3, 2, 2, 3, 3, 2, 3, 2, 2, 3, 2, 3, 3, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 2, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4, 3, 2, 3, 3, 3, 2, 1, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

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

LINKS

Clark Kimberling, Table of n, a(n) for n = 1..10000

EXAMPLE

123456 in base-4: 1,3,2,0,2,1,0,0,0; seven runs, of which 5 are distinct, so that a(123456) = 5.

MATHEMATICA

b = 4; s[n_] := Length[Union[Split[IntegerDigits[n, b]]]]

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

CROSSREFS

Cf. A043556 (number of runs, not necessarily distinct), A297770.

Sequence in context: A219025 A270746 A043531 * A043556 A230643 A163367

Adjacent sequences:  A297769 A297770 A297771 * A297773 A297774 A297775

KEYWORD

nonn,base,easy

AUTHOR

Clark Kimberling, Jan 27 2018

STATUS

approved

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Last modified June 19 14:08 EDT 2021. Contains 345140 sequences. (Running on oeis4.)