%I #10 Aug 17 2020 13:28:54
%S 0,1,2,3,4,5,6,7,8,9,10,11,12,14,15,16,17,19,22,30,31,32,33,34,35,36,
%T 37,39,42,44,50,52,54,55,56,57,59,62,64,66,67,72,74,77,80,81,82,83,84,
%U 85,86,87,88,89,90,92,94,96,97,99,100,102,104,106,107,110
%N Numbers in decimal representation, such that in German their digits are in alphabetic order.
%C List of decimal digits, alphabetically sorted by their names in German:
%C 8 _ acht, 3 _ drei, 1 _ eins, 5 _ fünf, 9 _ neun, 0 _ null, 6 _ sechs, 7 _ sieben, 4 _ vier, 2 _ zwei;
%C a(142055) = A247805(1008) = 8315906742 is the greatest term not containing any repeated digits.
%H Reinhard Zumkeller, <a href="/A247755/b247755.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 a247755 n = a247755_list !! (n-1)
%o a247755_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, 3, 1, 5, 9, 0, 6, 7, 4, 2]
%Y Cf. A247805 (subsequence).
%Y Cf. A247750 (Czech), A247751 (Danish), A247752 (Dutch), A053432 (English), A247753 (Finnish), A247754 (French), A247756 (Hungarian), A247757 (Italian), A247758 (Latin), A247759 (Norwegian), A247760 (Polish), A247757 (Portuguese), A247761 (Russian), A247762 (Slovak), A161390 (Spanish), A247759 (Swedish), A247764 (Turkish).
%K nonn,base,word
%O 1,3
%A _Reinhard Zumkeller_, Oct 05 2014