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A247757 Numbers in decimal representation, such that in Italian and Portuguese their digits are in alphabetic order.

%I A247757 #9 Feb 02 2025 20:11:47
%S A247757 0,1,2,3,4,5,6,7,8,9,10,11,20,21,22,23,24,26,27,28,29,30,31,33,40,41,
%T A247757 43,44,46,47,50,51,52,53,54,55,56,57,58,59,60,61,63,66,67,70,71,73,77,
%U A247757 80,81,83,84,86,87,88,90,91,93,94,96,97,98,99,100,110
%N A247757 Numbers in decimal representation, such that in Italian and Portuguese their digits are in alphabetic order.
%C A247757 List of decimal digits, alphabetically sorted by their names in Italian resp. Portuguese:  5 _ cinque _ cinco, 2 _ due _ dois/duas, 9 _ nove _ nove, 8 _ otto _ oito, 4 _ quattro _ quatro, 6 _ sei _ seis, 7 _ sette _ sete, 3 _ tre _ três, 1 _ uno _ um, 0 _ zero _ zero;
%C A247757 a(129217) = A247807(1023) = 5298467310 is the greatest term not containing any repeating digits.
%H A247757 Reinhard Zumkeller, <a href="/A247757/b247757.txt">Table of n, a(n) for n = 1..10000</a>
%H A247757 Wikipedia, <a href="http://de.wikipedia.org/wiki/Zahlen_in_unterschiedlichen_Sprachen#0_bis_10">Zahlen in unterschiedlichen Sprachen</a>
%H A247757 Wikipedia, <a href="http://en.wikipedia.org/wiki/List_of_numbers_in_various_languages">List of numbers in various languages</a>
%o A247757 (Haskell)
%o A247757 import Data.IntSet (fromList, deleteFindMin, union)
%o A247757 a247757 n = a247757_list !! (n-1)
%o A247757 a247757_list = 0 : f (fromList [1..9]) where
%o A247757    f s = x : f (s' `union`
%o A247757          fromList (map (+ 10 * x) $ dropWhile (/= mod x 10) digs))
%o A247757      where (x, s') = deleteFindMin s
%o A247757    digs = [5, 2, 9, 8, 4, 6, 7, 3, 1, 0]
%Y A247757 Cf. A247807 (subsequence).
%Y A247757 Cf. A247750 (Czech), A247751 (Danish), A247752 (Dutch), A053432 (English), A247753 (Finnish), A247754 (French), A247755 (German), A247756 (Hungarian), A247758 (Latin), A247759 (Norwegian), A247760 (Polish), A247761 (Russian), A247762 (Slovak), A161390 (Spanish), A247759 (Swedish), A247764 (Turkish).
%K A247757 nonn,base,word
%O A247757 1,3
%A A247757 _Reinhard Zumkeller_, Oct 05 2014