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

0,17

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

Mathematica

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

Crossrefs

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

Sequence in context: A043542 A043567 A297784 * A043543 A237684 A130634

Adjacent sequences: A043565 A043566 A043567 * A043569 A043570 A043571

Keyword

nonn,base

Author

Clark Kimberling

Status

approved