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A247751
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Numbers in decimal representation, such that in Danish their digits are in alphabetic order.
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20
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0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 22, 23, 33, 40, 42, 43, 44, 46, 47, 48, 49, 50, 52, 53, 54, 55, 56, 57, 58, 59, 62, 63, 66, 67, 72, 73, 77, 82, 83, 86, 87, 88, 90, 92, 93, 96, 97, 98, 99, 100, 102, 103, 106, 107, 108
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,3
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COMMENTS
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List of decimal digits, alphabetically sorted by their names in Danish:
1 _ en/et, 5 _ fem, 4 _ fire, 9 _ ni, 0 _ nul, 8 _ otte, 6 _ seks, 7 _ syv, 2 _ to, 3 _ tre;
a(124929) = A247801(992) = 1549086723 is the greatest term not containing any repeating digits.
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LINKS
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PROG
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(Haskell)
import Data.IntSet (fromList, deleteFindMin, union)
a247751 n = a247751_list !! (n-1)
a247751_list = 0 : f (fromList [1..9]) where
f s = x : f (s' `union`
fromList (map (+ 10 * x) $ dropWhile (/= mod x 10) digs))
where (x, s') = deleteFindMin s
digs = [1, 5, 4, 9, 0, 8, 6, 7, 2, 3]
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CROSSREFS
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Cf. A247750 (Czech), 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).
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KEYWORD
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nonn,base,word
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AUTHOR
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STATUS
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approved
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