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Numbers in decimal representation, such that in Norwegian and Swedish their digits are in alphabetic order.
17

%I #8 Jan 30 2016 18:33:39

%S 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,

%T 46,47,49,50,52,53,54,55,56,57,59,62,63,66,67,69,72,73,77,79,80,81,82,

%U 83,84,85,86,87,88,89,92,93,99,100,102,103,106,107,109

%N Numbers in decimal representation, such that in Norwegian and Swedish their digits are in alphabetic order.

%C 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;

%C a(141973) = A247809(992) = 8154067923 is the greatest term not containing any repeating digits.

%H Reinhard Zumkeller, <a href="/A247759/b247759.txt">Table of n, a(n) for n = 1..10000</a>

%H Wikipedia, <a href="http://de.wikipedia.org/wiki/Zahlen_in_unterschiedlichen_Sprachen#0_bis_10">Zahlen in unterschiedlichen Sprachen</a>

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/List_of_numbers_in_various_languages">List of numbers in various languages</a>

%o (Haskell)

%o import Data.IntSet (fromList, deleteFindMin, union)

%o a247759 n = a247759_list !! (n-1)

%o a247759_list = 0 : f (fromList [1..9]) where

%o f s = x : f (s' `union`

%o fromList (map (+ 10 * x) $ dropWhile (/= mod x 10) digs))

%o where (x, s') = deleteFindMin s

%o digs = [8, 1, 5, 4, 0, 6, 7, 9, 2, 3]

%Y Cf. A247809 (subsequence).

%Y 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).

%K nonn,base,word

%O 1,3

%A _Reinhard Zumkeller_, Oct 05 2014