A247755 Numbers in decimal representation, such that in German their digits are in alphabetic order.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 19, 22, 30, 31, 32, 33, 34, 35, 36, 37, 39, 42, 44, 50, 52, 54, 55, 56, 57, 59, 62, 64, 66, 67, 72, 74, 77, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 92, 94, 96, 97, 99, 100, 102, 104, 106, 107, 110

Offset

1,3

Comments

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

8 _ acht, 3 _ drei, 1 _ eins, 5 _ fünf, 9 _ neun, 0 _ null, 6 _ sechs, 7 _ sieben, 4 _ vier, 2 _ zwei;

a(142055) = A247805(1008) = 8315906742 is the greatest term not containing any repeated 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)
a247755 n = a247755_list !! (n-1)
a247755_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 = [8, 3, 1, 5, 9, 0, 6, 7, 4, 2]

Crossrefs

Cf. A247805 (subsequence).

Cf. A247750 (Czech), A247751 (Danish), A247752 (Dutch), A053432 (English), A247753 (Finnish), A247754 (French), 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: A026467 A088185 A118844 * A147820 A317469 A194424

Adjacent sequences: A247752 A247753 A247754 * A247756 A247757 A247758

Keyword

nonn,base,word

Author

Reinhard Zumkeller, Oct 05 2014

Status

approved