A297776 Number of distinct runs in base-8 digits of n.

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

Offset

1,8

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

1262656 in base-8: 1,0,0,1,0,0,1; five runs, of which 2 are distinct, so that a(1262656) = 2.

Mathematica

b = 8; s[n_] := Length[Union[Split[IntegerDigits[n, b]]]]
Table[s[n], {n, 1, 200}]

Crossrefs

Cf. A043560 (number of runs, not necessarily distinct), A297770, A043535.

Sequence in context: A043534 A043559 A083165 * A043535 A043560 A276034

Adjacent sequences: A297773 A297774 A297775 * A297777 A297778 A297779

Keyword

nonn,base,easy

Author

Clark Kimberling, Jan 29 2018

Status

approved