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A247750 Numbers in decimal representation, such that in Czech their digits are in alphabetic order. 17

%I #9 Oct 18 2014 07:26:48

%S 0,1,2,3,4,5,6,7,8,9,10,11,13,15,16,17,18,20,21,22,23,25,26,27,28,33,

%T 40,41,42,43,44,45,46,47,48,49,53,55,56,57,63,66,73,76,77,83,85,86,87,

%U 88,90,91,92,93,95,96,97,98,99,100,103,105,106,107,108

%N Numbers in decimal representation, such that in Czech their digits are in alphabetic order.

%C List of decimal digits, alphabetically sorted by their names in Czech:

%C 4 _ čtyři, 9 _ devět, 2 _ dva/dvě, 1 _ jeden/jedna/jedno, 0 _ nula, 8 _ osm, 5 _ pět, 7 _ sedm, 6 _ šest, 3 _ tři;

%C a(144740) = A247800(992) = 4921085763 is the greatest term not containing any repeating digits.

%H Reinhard Zumkeller, <a href="/A247750/b247750.txt">Table of n, a(n) for n = 1..10000</a>

%o (Haskell)

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

%o a247750 n = a247750_list !! (n-1)

%o a247750_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 = [4, 9, 2, 1, 0, 8, 5, 7, 6, 3]

%Y Cf. A247800 (subsequence).

%Y Cf. A247751 (Danish), A247752 (Dutch), A053432 (English), A247753 (Finnish), A247754 (French), A247755 (German), 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

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Last modified April 26 21:53 EDT 2024. Contains 372004 sequences. (Running on oeis4.)