

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
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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.


LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..1023
Wikipedia, Zahlen in unterschiedlichen Sprachen
Wikipedia, List of numbers in various languages


PROG

(Haskell)
import Data.IntSet (fromList, deleteFindMin, union)
import qualified Data.IntSet as Set (null)
a247804 n = a247804_list !! (n1)
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: A257128 A247808 A247807 * A032865 A032889 A308393
Adjacent sequences: A247801 A247802 A247803 * A247805 A247806 A247807


KEYWORD

nonn,base,word,fini,full


AUTHOR

Reinhard Zumkeller, Oct 05 2014


STATUS

approved



