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A297778 Number of distinct runs in base-10 digits of n. 3
1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,10

COMMENTS

Every positive integers occurs infinitely many times.  See A297770 for a guide to related sequences. A043562(n) = a(n) for n=1..100, but not for n=101.

LINKS

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

EXAMPLE

14! in base-10: 2,7,0,0,1,7,3,0,1,3,0,0; ten runs, of which 6 are distinct, so that a(14!) = 6.

MATHEMATICA

b = 10; s[n_] := Length[Union[Split[IntegerDigits[n, b]]]]

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

CROSSREFS

Cf. A043562 (number of runs, not necessarily distinct), A297770.

Sequence in context: A297777 A043536 A043561 * A043562 A043537 A047726

Adjacent sequences:  A297775 A297776 A297777 * A297779 A297780 A297781

KEYWORD

nonn,base,easy

AUTHOR

Clark Kimberling, Feb 03 2018

STATUS

approved

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Last modified June 21 08:18 EDT 2021. Contains 345358 sequences. (Running on oeis4.)