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A297773 Number of distinct runs in base-5 digits of n. 3
1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 3, 2, 1, 2, 2, 2, 3, 2, 2, 3, 3, 3, 2, 3, 2, 3, 3, 2, 3, 3, 2, 2, 3, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 2, 3, 2, 2, 3, 3, 2, 3, 3, 2, 3, 2, 3, 3, 3 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

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

8^8 in base 5: 1,3,2,4,3,3,3,2,3,3,1; eight runs, of which 6 are distinct, so that a(8^8) = 6.

MATHEMATICA

b = 5; s[n_] := Length[Union[Split[IntegerDigits[n, b]]]]

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

CROSSREFS

Cf. A043557 (number of runs, not necessarily distinct), A297770, A043532.

Sequence in context: A080462 A194823 A098396 * A043532 A043557 A055027

Adjacent sequences:  A297770 A297771 A297772 * A297774 A297775 A297776

KEYWORD

nonn,base,easy

AUTHOR

Clark Kimberling, Jan 27 2018

STATUS

approved

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Last modified June 17 00:17 EDT 2021. Contains 345080 sequences. (Running on oeis4.)