A297775 - OEIS

A297775

Number of distinct runs in base-7 digits of n.

1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 3, 3, 3, 2, 3, 2, 3, 3, 3, 3, 2, 3, 3, 2, 3, 3, 3, 2, 3

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OFFSET

1,7

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

1234567 in base-7: 1,3,3,3,1,2,1,5; six runs, of which 4 are distinct, so that a(1234567) = 4.

MATHEMATICA

b = 7; s[n_] := Length[Union[Split[IntegerDigits[n, b]]]]

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