A247752 Numbers in decimal representation, such that in Dutch their digits are in alphabetic order.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 19, 22, 24, 25, 26, 27, 30, 32, 33, 34, 35, 36, 37, 39, 44, 45, 46, 47, 55, 56, 57, 66, 67, 77, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 92, 94, 95, 96, 97, 99, 100, 102, 104, 105, 106, 107

Offset: 1

Author

Reinhard Zumkeller, Oct 05 2014

Keywords

• nonn
• base
• word

Comments

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

8 acht, 1 een, 3 drie, 9 negen, 0 nul, 2 twee, 4 vier, 5 vijf, 6 zes, 7 zeven;

a(137654) = A247802(992) = 8139024567 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. A247802 (subsequence).

Cf. A247750 (Czech), A247751 (Danish), 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)
a247752 n = a247752_list !! (n-1)
a247752_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, 1, 3, 9, 0, 2, 4, 5, 6, 7]