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

Author

Reinhard Zumkeller, Oct 05 2014

Keywords

• nonn
• base
• word

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

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).

Programs

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]