A043561 Number of runs in base-9 representation of n.

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

Offset: 0

Author

Clark Kimberling

Keywords

• nonn
• base

Comments

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

Crossrefs

Cf. A297777 (number of distinct runs), A297770.

Programs

Mathematica

b = 9; s[n_] := Length[Split[IntegerDigits[n, b]]];
Table[s[n], {n, 1, 200}]

Extensions

Updated by Clark Kimberling, Feb 04 2018