

A247755


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


17



0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 19, 22, 30, 31, 32, 33, 34, 35, 36, 37, 39, 42, 44, 50, 52, 54, 55, 56, 57, 59, 62, 64, 66, 67, 72, 74, 77, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 92, 94, 96, 97, 99, 100, 102, 104, 106, 107, 110
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OFFSET

1,3


COMMENTS

List of decimal digits, alphabetically sorted by their names in German:
8 _ acht, 3 _ drei, 1 _ eins, 5 _ fünf, 9 _ neun, 0 _ null, 6 _ sechs, 7 _ sieben, 4 _ vier, 2 _ zwei;
a(142055) = A247805(1008) = 8315906742 is the greatest term not containing any repeated digits.


LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000
Wikipedia, Zahlen in unterschiedlichen Sprachen
Wikipedia, List of numbers in various languages


PROG

(Haskell)
import Data.IntSet (fromList, deleteFindMin, union)
a247755 n = a247755_list !! (n1)
a247755_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 = [8, 3, 1, 5, 9, 0, 6, 7, 4, 2]


CROSSREFS

Cf. A247805 (subsequence).
Cf. A247750 (Czech), A247751 (Danish), A247752 (Dutch), A053432 (English), A247753 (Finnish), A247754 (French), A247756 (Hungarian), A247757 (Italian), A247758 (Latin), A247759 (Norwegian), A247760 (Polish), A247757 (Portuguese), A247761 (Russian), A247762 (Slovak), A161390 (Spanish), A247759 (Swedish), A247764 (Turkish).
Sequence in context: A026467 A088185 A118844 * A147820 A317469 A194424
Adjacent sequences: A247752 A247753 A247754 * A247756 A247757 A247758


KEYWORD

nonn,base,word


AUTHOR

Reinhard Zumkeller, Oct 05 2014


STATUS

approved



