A190132 Numbers 1 through 10000 sorted lexicographically in duodecimal representation (base 12).

1, 12, 144, 1728, 1729, 1730, 1731, 1732, 1733, 1734, 1735, 1736, 1737, 1738, 1739, 145, 1740, 1741, 1742, 1743, 1744, 1745, 1746, 1747, 1748, 1749, 1750, 1751, 146, 1752, 1753, 1754, 1755, 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 147, 1764, 1765

Offset

1,2

Comments

A190133 = inverse permutation: a(A190133(n)) = A190133(a(n)) = n;

a(n) <> n for n > 1.

Links

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000 (full sequence)

Eric Weisstein's World of Mathematics, Lexicographic Order

Eric Weisstein's World of Mathematics, Duodecimal

Wikipedia, Lexicographical order

Wikipedia, Duodecimal

Example

a(13) = 1737 -> 1009 [doz];
a(14) = 1738 -> 100A [doz];
a(15) = 1739 -> 100B [doz];
a(16) =  145 -> 101  [doz];
a(17) = 1740 -> 1010 [doz];
a(18) = 1741 -> 1011 [doz];
largest term a(9026) = 10000 -> 5282 [doz];
last term a(10000) = 1727 -> BBB [doz], largest term lexicographically.

Prog

(Haskell)
import Data.Ord (comparing)
import Data.List (sortBy)
import Numeric (showIntAtBase)
import Data.Char (intToDigit)
a190132 n = a190132_list !! (n-1)
a190132_list =
   sortBy (comparing (flip (showIntAtBase 12 intToDigit) "")) [1..10000]

Crossrefs

Cf. A190126 (base 2), A190128 (base 3), A190130 (base 8), A190016 (base 10), A190134 (base 16).

Sequence in context: A370045 A264523 A171286 * A267791 A001021 A159490

Adjacent sequences: A190129 A190130 A190131 * A190133 A190134 A190135

Keyword

nonn,base,fini,full

Author

Reinhard Zumkeller, May 06 2011

Status

approved