A297779 Number of distinct runs in base-11 digits of n.

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

Offset

1,11

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

11! in base-11: 2,0,5,9,4,0,10,0; eight runs, of which 6 are distinct, so that a(11!) = 6.

Mathematica

b = 11; s[n_] := Length[Union[Split[IntegerDigits[n, b]]]]
Table[s[n], {n, 1, 200}]

Crossrefs

Cf. A043563 (number of runs, not necessarily distinct), A297770.

Sequence in context: A043562 A043537 A047726 * A043563 A043538 A297780

Adjacent sequences: A297776 A297777 A297778 * A297780 A297781 A297782

Keyword

nonn,base,easy

Author

Clark Kimberling, Feb 03 2018

Status

approved