A270036 a(n) is the smallest b for which the base-b representation of n contains a digit greater than 9.

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

Offset

10,1

Links

Nathan Fox, Table of n, a(n) for n = 10..10000

Mathematica

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

Prog

(PARI) a(n) = my(b=10); while(vecmax(digits(n, b)) < 10, b++); b; \\ Michel Marcus, Mar 10 2016

Crossrefs

Sequence in context: A020510 A291521 A324309 * A178405 A162903 A216589

Adjacent sequences: A270033 A270034 A270035 * A270037 A270038 A270039

Keyword

nonn,base

Author

Nathan Fox, Mar 08 2016

Status

approved