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A247758 Numbers in decimal representation, such that in Latin their digits are in alphabetic order.

%I A247758 #6 Oct 18 2014 07:25:37
%S A247758 0,1,2,3,4,5,6,7,8,9,10,11,20,21,22,23,24,25,26,27,28,29,30,31,33,40,
%T A247758 41,43,44,45,46,47,50,51,53,55,56,57,60,61,63,66,67,70,71,73,77,80,81,
%U A247758 83,84,85,86,87,88,90,91,93,94,95,96,97,98,99,100,110
%N A247758 Numbers in decimal representation, such that in Latin their digits are in alphabetic order.
%C A247758 List of decimal digits, alphabetically sorted by their names in Latin:
%C A247758 2 _ duo/duae/duo, 9 _ novem, 8 _ octo, 4 _ quattuor, 5 _ quinque, 6 _ sex, 7 _ septem, 3 _ tres/tria, 1 _ unus/una/unum, 0 _ zipherum;
%C A247758 a(131861) = A247808(1023) = 2984567310 is the greatest term not containing any repeating digits.
%H A247758 Reinhard Zumkeller, <a href="/A247758/b247758.txt">Table of n, a(n) for n = 1..10000</a>
%H A247758 Wikipedia, <a href="http://de.wikipedia.org/wiki/Zahlen_in_unterschiedlichen_Sprachen#0_bis_10">Zahlen in unterschiedlichen Sprachen</a>
%H A247758 Wikipedia, <a href="http://en.wikipedia.org/wiki/List_of_numbers_in_various_languages">List of numbers in various languages</a>
%o A247758 (Haskell)
%o A247758 import Data.IntSet (fromList, deleteFindMin, union)
%o A247758 a247758 n = a247758_list !! (n-1)
%o A247758 a247758_list = 0 : f (fromList [1..9]) where
%o A247758    f s = x : f (s' `union`
%o A247758          fromList (map (+ 10 * x) $ dropWhile (/= mod x 10) digs))
%o A247758      where (x, s') = deleteFindMin s
%o A247758    digs = [2, 9, 8, 4, 5, 6, 7, 3, 1, 0]
%Y A247758 Cf. A247808 (subsequence).
%Y A247758 Cf. A247750 (Czech), A247751 (Danish), A247752 (Dutch), A053432 (English), A247753 (Finnish), A247754 (French), A247755 (German), A247756 (Hungarian), A247757 (Italian), A247759 (Norwegian), A247760 (Polish), A247757 (Portuguese), A247761 (Russian), A247762 (Slovak), A161390 (Spanish), A247759 (Swedish), A247764 (Turkish).
%K A247758 nonn,base,word
%O A247758 1,3
%A A247758 _Reinhard Zumkeller_, Oct 05 2014