A043286 Maximal run length in base-12 representation of n.

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

Offset: 1

Author

Clark Kimberling

Keywords

• nonn
• base

Comments

For all numbers n in A023806, a(n)=1, but this holds also for others, e.g., n=145, not in A023806. The same relation holds for the terms of A113763 less than n=144, but becomes wrong from then on. - M. F. Hasler, Jul 24 2013

Links

• Antti Karttunen, Table of n, a(n) for n = 1..22621

Crossrefs

Cf. A043276-A043290 for base-2 to base-16 analogs.

Programs

Mathematica

A043286[n_]:=Max[Map[Length,Split[IntegerDigits[n,12]]]];Array[A043286,100] (* Paolo Xausa, Sep 27 2023 *)

PARI

A043286(n, b=12){=my(m, c=1); while(n>0, n%b==(n\=b)%b&&c++&&next; m=max(m, c); c=1); m} \\ M. F. Hasler, Jul 23 2013 - typos fixed by Antti Karttunen, Dec 06 2017

Extensions

More terms from Antti Karttunen, Dec 06 2017