A037914 a(n) is the least base b>=2 such that the number of distinct digits in the base b representation of n is maximized.

2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 4, 3, 2, 3, 2, 2, 4, 2, 2, 4, 4, 3, 4, 3, 3, 3, 3, 3, 4, 2, 3, 4, 5, 6, 3, 2, 4, 3, 3, 3, 3, 4, 4, 3, 4, 5, 4, 3, 4, 3, 3, 3, 6, 3, 6, 3, 3, 3, 3, 4, 6, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 5, 5, 3, 3, 3, 3, 6

Offset: 1

Author

Clark Kimberling

Keywords

• nonn
• base

Comments

Original title: a(n)=least base b>=2 such that f(b,n)>=f(b',n) for all b'>=2, where f(b,n)=number of distinct base b digits of n.

Links

• Sean A. Irvine, Java program (github).

Crossrefs

See A037968 for the greatest number of digits over all bases b>=2.

Extensions

Offset corrected and title simplified by Sean A. Irvine, Dec 27 2020