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

1,3

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

Prog

(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]

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).

Sequence in context: A098452 A088382 A247759 * A291149 A363748 A322463

Adjacent sequences: A247749 A247750 A247751 * A247753 A247754 A247755

Keyword

nonn,base,word

Author

Reinhard Zumkeller, Oct 05 2014

Status

approved