A247751 Numbers in decimal representation, such that in Danish their digits are in alphabetic order.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 22, 23, 33, 40, 42, 43, 44, 46, 47, 48, 49, 50, 52, 53, 54, 55, 56, 57, 58, 59, 62, 63, 66, 67, 72, 73, 77, 82, 83, 86, 87, 88, 90, 92, 93, 96, 97, 98, 99, 100, 102, 103, 106, 107, 108

Offset: 1

Author

Reinhard Zumkeller, Oct 05 2014

Keywords

• nonn
• base
• word

Comments

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

1 en/et, 5 fem, 4 fire, 9 ni, 0 nul, 8 otte, 6 seks, 7 syv, 2 to, 3 tre;

a(124929) = A247801(992) = 1549086723 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

Crossrefs

Cf. A247801 (subsequence).

Cf. A247750 (Czech), A247752 (Dutch), A053432 (English), A247753 (Finnish), A247754 (French), A247755 (German), 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)
a247751 n = a247751_list !! (n-1)
a247751_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 = [1, 5, 4, 9, 0, 8, 6, 7, 2, 3]