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A247809
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Numbers in decimal representation with distinct digits, such that in Norwegian and Swedish their digits are in alphabetic order.
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17
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0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 19, 23, 40, 42, 43, 46, 47, 49, 50, 52, 53, 54, 56, 57, 59, 62, 63, 67, 69, 72, 73, 79, 80, 81, 82, 83, 84, 85, 86, 87, 89, 92, 93, 102, 103, 106, 107, 109, 123, 140, 142, 143, 146, 147, 149, 150, 152
(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 Norwegian resp. Swedish: 8 _ åtte _ åtta, 1 _ en/ett _ en/ett, 5 _ fem _ fem, 4 _ fire _ fyra, 0 _ null _ noll, 6 _ seks _ sex, 7 _ syv/sju _ sju, 9 _ ti _ tio, 2 _ to _ två, 3 _ tre _ tre;
Finite sequence with last and largest term a(992) = 8154067923.
The word tio (10) should probably be nio (9). Sources: 1) Wikipedia, List of numbers in various languages: Germanic languages, 2) Swedish Language Blog, Swedish numbers 1-100.
The names are sorted using English sorting rules. In Swedish, the letter Å/å, like in åtta (8), comes after z. Alphabetical order is a, ..., z, å, ä, ö. Using Swedish sorting rules and nio for 9, the sequence for 0-9 would be 1, 5, 4, 9, 0, 6, 7, 3, 2, 8. Sources: 1) Swedish speaker (not me), 2) Wikipedia: Swedish alphabet.
(End)
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LINKS
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PROG
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(Haskell)
import Data.IntSet (fromList, deleteFindMin, union)
import qualified Data.IntSet as Set (null)
a247809 n = a247809_list !! (n-1)
a247809_list = 0 : f (fromList [1..9]) where
f s | Set.null s = []
| otherwise = x : f (s' `union`
fromList (map (+ 10 * x) $ tail $ dropWhile (/= mod x 10) digs))
where (x, s') = deleteFindMin s
digs = [8, 1, 5, 4, 0, 6, 7, 9, 2, 3]
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CROSSREFS
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Cf. A247800 (Czech), A247801 (Danish), A247802 (Dutch), A053433 (English), A247803 (Finnish), A247804 (French), A247805 (German), A247806 (Hungarian), A247807 (Italian), A247808 (Latin), A247810 (Polish), A247807 (Portuguese), A247811 (Russian), A247812 (Slovak), A247813 (Spanish), A247814 (Turkish).
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KEYWORD
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nonn,base,word,fini,full
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AUTHOR
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STATUS
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approved
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