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a(n) is the smallest b for which the base-b representation of n contains a digit greater than 9.
1

%I #12 Jun 29 2019 01:39:58

%S 11,12,13,14,15,16,17,18,19,20,21,11,12,12,13,13,14,14,15,15,16,16,11,

%T 17,12,12,13,13,13,14,14,14,15,11,15,16,12,12,17,13,13,13,14,14,11,14,

%U 15,15,12,12,16,16,13,13,13,11,14,14,14,14

%N a(n) is the smallest b for which the base-b representation of n contains a digit greater than 9.

%H Nathan Fox, <a href="/A270036/b270036.txt">Table of n, a(n) for n = 10..10000</a>

%t Table[SelectFirst[Range[11, 10^3], Total@ Drop[Most[DigitCount[n, #]], 9] > 0 &], {n, 10, 120}] (* _Michael De Vlieger_, Mar 10 2016, Version 10 *)

%o (PARI) a(n) = my(b=10); while(vecmax(digits(n, b)) < 10, b++); b; \\ _Michel Marcus_, Mar 10 2016

%K nonn,base

%O 10,1

%A _Nathan Fox_, Mar 08 2016