A043568 Number of runs in base-16 representation of n.

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2

Offset: 0

Author

Clark Kimberling

Keywords

• nonn
• base

Comments

Differs from A043543 if we consider for example numbers which are palindromic in base 16 with 3 (2 distinct) digits. - R. J. Mathar, Oct 20 2008

Every positive integers occurs infinitely many times. See A297770 for a guide to related sequences. - Clark Kimberling, Feb 04 2018

Links

• Clark Kimberling, Table of n, a(n) for n = 0..10000

Crossrefs

Cf. A297783 (number of distinct runs), A297770.

Programs

Mathematica

b = 16; s[n_] := Length[Split[IntegerDigits[n, b]]];
Table[s[n], {n, 0, 200}]