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A297783
Number of distinct runs in base-15 digits of n.
4
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, 1, 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, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2
OFFSET
1,15
COMMENTS
Every positive integers occurs infinitely many times. See A297770 for a guide to related sequences.
Starts to differ from A043542 at n=3391. - R. J. Mathar, Jul 24 2023
LINKS
EXAMPLE
12153600 in base-15: 1,1,0,1,1,0,0; four runs, of which 3 are distinct, so that a(12153600) = 3.
MATHEMATICA
b = 15; s[n_] := Length[Union[Split[IntegerDigits[n, b]]]]
Table[s[n], {n, 1, 200}]
CROSSREFS
Cf. A043567 (number of runs, not necessarily distinct), A297770.
Sequence in context: A297782 A043566 A043541 * A043542 A043567 A297784
KEYWORD
nonn,base,easy
AUTHOR
Clark Kimberling, Feb 03 2018
STATUS
approved