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A247803
Numbers in decimal representation with distinct digits, such that in Finnish their digits are in alphabetic order.
17
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 20, 21, 23, 24, 25, 26, 27, 29, 30, 31, 34, 35, 36, 37, 39, 40, 41, 45, 47, 49, 51, 59, 60, 61, 64, 65, 67, 69, 71, 75, 79, 80, 81, 82, 83, 84, 85, 86, 87, 89, 91, 201, 205, 207, 209, 230, 231, 234, 235, 236, 237, 239, 240, 241
OFFSET
1,3
COMMENTS
List of decimal digits, alphabetically sorted by their names in Finnish:
8 _ kahdeksan, 2 _ kaksi, 3 _ kolme, 6 _ kuusi, 4 _ neljä, 0 _ nolla, 7 _ seitsemän, 5 _ viisi, 9 _ yhdeksän, 1 _ yksi;
finite sequence with last and largest term a(1008) = 8236407591.
PROG
(Haskell)
import Data.IntSet (fromList, deleteFindMin, union)
import qualified Data.IntSet as Set (null)
a247803 n = a247803_list !! (n-1)
a247803_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, 2, 3, 6, 4, 0, 7, 5, 9, 1]
CROSSREFS
Intersection of A010784 and A247753.
Cf. A247800 (Czech), A247801 (Danish), A247802 (Dutch), A053433 (English), A247804 (French), A247805 (German), A247806 (Hungarian), A247807 (Italian), A247808 (Latin), A247810 (Polish), A247807 (Portuguese), A247811 (Russian), A247812 (Slovak), A247813 (Spanish), A247809 (Swedish), A247814 (Turkish).
Sequence in context: A024657 A140281 A039077 * A362093 A052383 A110803
KEYWORD
nonn,base,word,fini,full
AUTHOR
Reinhard Zumkeller, Oct 05 2014
STATUS
approved