A297780 Number of distinct runs in base-12 digits of n.

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

Offset

1,12

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

3006865 in base-12: 1,0,1,0,1,0,1; seven runs, of which 2 are distinct, so that a(3006865) = 2.

Mathematica

b = 12; s[n_] := Length[Union[Split[IntegerDigits[n, b]]]]
Table[s[n], {n, 1, 200}]

Crossrefs

Cf. A043564 (number of runs, not necessarily distinct), A297770.

Sequence in context: A297779 A043563 A043538 * A043564 A043539 A297781

Adjacent sequences: A297777 A297778 A297779 * A297781 A297782 A297783

Keyword

nonn,base,easy

Author

Clark Kimberling, Feb 03 2018

Status

approved