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A247804
Numbers in decimal representation with distinct digits, such that in French their digits are in alphabetic order.
17
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 20, 21, 23, 24, 26, 27, 28, 29, 30, 31, 40, 41, 43, 46, 47, 50, 51, 52, 53, 54, 56, 57, 58, 59, 60, 61, 63, 70, 71, 73, 76, 80, 81, 83, 84, 86, 87, 89, 90, 91, 93, 94, 96, 97, 210, 230, 231, 240, 241, 243, 246, 247, 260, 261
OFFSET
1,3
COMMENTS
List of decimal digits, alphabetically sorted by their names in French:
5 _ cinq, 2 _ deux, 8 _ huit, 9 _ neuf, 4 _ quatre, 7 _ sept, 6 _ six, 3 _ trois, 1 _ un, 0 _ zéro;
finite sequence with last and largest term a(1023) = 5289476310.
PROG
(Haskell)
import Data.IntSet (fromList, deleteFindMin, union)
import qualified Data.IntSet as Set (null)
a247804 n = a247804_list !! (n-1)
a247804_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 = [5, 2, 8, 9, 4, 7, 6, 3, 1, 0]
CROSSREFS
Intersection of A010784 and A247754.
Cf. A247800 (Czech), A247801 (Danish), A247802 (Dutch), A053433 (English), A247803 (Finnish), A247805 (German), A247806 (Hungarian), A247807 (Italian), A247808 (Latin), A247809 (Norwegian), A247810 (Polish), A247807 (Portuguese), A247811 (Russian), A247812 (Slovak), A247813 (Spanish), A247809 (Swedish), A247814 (Turkish).
Sequence in context: A339541 A247808 A247807 * A032865 A032889 A308393
KEYWORD
nonn,base,word,fini,full
AUTHOR
Reinhard Zumkeller, Oct 05 2014
STATUS
approved