login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A102488
Numbers in base-12 representation that cannot be written with decimal digits.
5
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
1,1
LINKS
Eric Weisstein's World of Mathematics, Duodecimal
Wikipedia, Duodecimal
EXAMPLE
143 = 11*12^1 + 11*12^0 = 'BB', therefore 143 is a term.
MATHEMATICA
Select[Range[250], Max[IntegerDigits[#, 12]]>9&] (* Harvey P. Dale, Oct 20 2020 *)
PROG
(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
CROSSREFS
Complement of A102487; A102490, A102492, A102494.
Sequence in context: A041847 A113702 A373616 * A022315 A061590 A173900
KEYWORD
nonn,base
AUTHOR
Reinhard Zumkeller, Jan 12 2005
STATUS
approved