A297782 Number of distinct runs in base-14 digits of n.

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, 1, 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, 1, 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

Offset

1,14

Comments

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

Starts to differ from A043541 at n=2759. - R. J. Mathar, Jul 24 2023

Links

Clark Kimberling, Table of n, a(n) for n = 1..10000

Example

8070300 in base-14: 1,1,0,1,1,0,0; four runs, of which 3 are distinct, so that a(8070300) = 3.

Mathematica

b = 14; s[n_] := Length[Union[Split[IntegerDigits[n, b]]]]
Table[s[n], {n, 1, 200}]

Crossrefs

Cf. A043566 (number of runs, not necessarily distinct), A297770.

Sequence in context: A297781 A043565 A043540 * A043566 A043541 A297783

Adjacent sequences: A297779 A297780 A297781 * A297783 A297784 A297785

Keyword

nonn,base,easy

Author

Clark Kimberling, Feb 03 2018

Status

approved