A102488 Numbers in base-12 representation that cannot be written with decimal digits.

10, 11, 22, 23, 34, 35, 46, 47, 58, 59, 70, 71, 82, 83, 94, 95, 106, 107, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 154, 155, 166, 167, 178, 179, 190, 191, 202, 203, 214

Offset: 1

Author

Reinhard Zumkeller, Jan 12 2005

Keywords

• nonn
• base

Examples

			143 = 11*12^1 + 11*12^0 = 'BB', therefore 143 is a term.
		

Links

• Reinhard Zumkeller, Table of n, a(n) for n = 1..10000
• Eric Weisstein's World of Mathematics, Duodecimal
• Wikipedia, Duodecimal

Crossrefs

Complement of A102487; A102490, A102492, A102494.

Programs

Haskell

import Data.List (unfoldr)
a102488 n = a102488_list !! (n-1)
a102488_list = filter (any (> 9) . unfoldr (\x ->
   if x == 0 then Nothing else Just $ swap $ divMod x 12)) [1..]
-- Reinhard Zumkeller, Apr 18 2011

Mathematica

Select[Range[250],Max[IntegerDigits[#,12]]>9&] (* Harvey P. Dale, Oct 20 2020 *)