A247759 Numbers in decimal representation, such that in Norwegian and Swedish 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, 23, 33, 40, 42, 43, 44, 46, 47, 49, 50, 52, 53, 54, 55, 56, 57, 59, 62, 63, 66, 67, 69, 72, 73, 77, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 92, 93, 99, 100, 102, 103, 106, 107, 109

Offset: 1

Author

Reinhard Zumkeller, Oct 05 2014

Keywords

• nonn
• base
• word

Comments

List of decimal digits, alphabetically sorted by their names in Norwegian resp. Swedish: 8 åtte åtta, 1 en/ett en/ett, 5 fem fem, 4 fire fyra, 0 null noll, 6 seks sex, 7 syv/sju sju, 9 ti tio, 2 to två, 3 tre tre;

a(141973) = A247809(992) = 8154067923 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. A247809 (subsequence).

Cf. A247750 (Czech), A247751 (Danish), A247752 (Dutch), A053432 (English), A247753 (Finnish), A247754 (French), A247755 (German), A247756 (Hungarian), A247757 (Italian), A247758 (Latin), A247760 (Polish), A247757 (Portuguese), A247761 (Russian), A247762 (Slovak), A161390 (Spanish), A247764 (Turkish).

Programs

Haskell

import Data.IntSet (fromList, deleteFindMin, union)
a247759 n = a247759_list !! (n-1)
a247759_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, 5, 4, 0, 6, 7, 9, 2, 3]