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A247757 Numbers in decimal representation, such that in Italian and Portuguese their digits are in alphabetic order. 17

%I #6 Oct 18 2014 07:33:57

%S 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 43,44,46,47,50,51,52,53,54,55,56,57,58,59,60,61,63,66,67,70,71,73,77,

%U 80,81,83,84,86,87,88,90,91,93,94,96,97,98,99,100,110

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

%C 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 _ tres, 1 _ uno _ um, 0 _ zero _ zero;

%C a(129217) = A247807(1023) = 5298467310 is the greatest term not containing any repeating digits.

%H Reinhard Zumkeller, <a href="/A247757/b247757.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 a247757 n = a247757_list !! (n-1)

%o a247757_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 = [5, 2, 9, 8, 4, 6, 7, 3, 1, 0]

%Y Cf. A247807 (subsequence).

%Y 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 nonn,base,word

%O 1,3

%A _Reinhard Zumkeller_, Oct 05 2014

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Last modified April 20 00:26 EDT 2024. Contains 371798 sequences. (Running on oeis4.)