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

1,3

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

Prog

(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]

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).

Sequence in context: A164710 A098452 A088382 * A247752 A291149 A363748

Adjacent sequences: A247756 A247757 A247758 * A247760 A247761 A247762

Keyword

nonn,base,word

Author

Reinhard Zumkeller, Oct 05 2014

Status

approved