

A037968


Greatest number of distinct digits of n in any base b>=2.


4



1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 3, 3, 2, 3, 2, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3
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OFFSET

1,2


COMMENTS

First occurrence of k: 1, 2, 11, 75, 694, 8345, 123717, …, . A049363
Last occurrence of k: 1, 43, 2462, 140081, 20338085, …, . A246535
Count of f(j) = k: 1, 22, 340, 8888, …, . not in the OEIS data base.
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LINKS



MATHEMATICA

f[n_] := Max@ Table[ Length@ Union@ IntegerDigits[n, b], {b, 2, n }]; f[1] = 1; Array[f, 105] (* Robert G. Wilson v, Aug 29 2014 *)


PROG

(PARI) a(n) = {nb = 1; for (k=2, n, nb = max (nb, #Set(digits(n, k))); ); nb; } \\ Michel Marcus, Sep 13 2014


CROSSREFS

See A037914 for the least corresponding bases.


KEYWORD

nonn,base


AUTHOR



STATUS

approved



