A247754 Numbers in decimal representation, such that in French their digits are in alphabetic order.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 20, 21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 33, 40, 41, 43, 44, 46, 47, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 63, 66, 70, 71, 73, 76, 77, 80, 81, 83, 84, 86, 87, 88, 89, 90, 91, 93, 94, 96, 97, 99, 100, 110

Offset

1,3

Comments

List of decimal digits, alphabetically sorted by their names in French:

5 _ cinq, 2 _ deux, 8 _ huit, 9 _ neuf, 4 _ quatre, 7 _ sept, 6 _ six, 3 _ trois, 1 _ un, 0 _ zéro;

a(129217) = A247804(1023) = 5289476310 is the greatest term not containing any repeating digits.

Links

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

Wikipedia, Zahlen in unterschiedlichen Sprachen

Wikipedia, List of numbers in various languages

Prog

(Haskell)
import Data.IntSet (fromList, deleteFindMin, union)
a247754 n = a247754_list !! (n-1)
a247754_list = 0 : f (fromList [1..9]) where
   f s = x : f (s' `union`
         fromList (map (+ 10 * x) $ dropWhile (/= mod x 10) digs))
     where (x, s') = deleteFindMin s
   digs = [5, 2, 8, 9, 4, 7, 6, 3, 1, 0]

Crossrefs

Cf. A247804 (subsequence).

Cf. A247750 (Czech), A247751 (Danish), A247752 (Dutch), A053432 (English), A247753 (Finnish), A247755 (German), A247756 (Hungarian), A247757 (Italian), A247758 (Latin), A247759 (Norwegian), A247760 (Polish), A247757 (Portuguese), A247761 (Russian), A247762 (Slovak), A161390 (Spanish), A247759 (Swedish), A247764 (Turkish).

Sequence in context: A273376 A247758 A247757 * A084383 A032873 A072543

Adjacent sequences: A247751 A247752 A247753 * A247755 A247756 A247757

Keyword

nonn,base,word

Author

Reinhard Zumkeller, Oct 05 2014

Status

approved