

A247751


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


20



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
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OFFSET

1,3


COMMENTS

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.


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)
a247751 n = a247751_list !! (n1)
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]


CROSSREFS

Cf. A247801 (subsequence).
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).
Sequence in context: A275776 A022465 A296762 * A059962 A057605 A110548
Adjacent sequences: A247748 A247749 A247750 * A247752 A247753 A247754


KEYWORD

nonn,base,word


AUTHOR

Reinhard Zumkeller, Oct 05 2014


STATUS

approved



