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A247800
Numbers in decimal representation with distinct digits, such that in Czech their digits are in alphabetic order.
17
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 13, 15, 16, 17, 18, 20, 21, 23, 25, 26, 27, 28, 40, 41, 42, 43, 45, 46, 47, 48, 49, 53, 56, 57, 63, 73, 76, 83, 85, 86, 87, 90, 91, 92, 93, 95, 96, 97, 98, 103, 105, 106, 107, 108, 153, 156, 157, 163, 173, 176, 183, 185, 186
OFFSET
1,3
COMMENTS
List of decimal digits, alphabetically sorted by their names in Czech:
4 _ čtyři, 9 _ devět, 2 _ dva/dvě, 1 _ jeden/jedna/jedno, 0 _ nula, 8 _ osm, 5 _ pět, 7 _ sedm, 6 _ šest, 3 _ tři;
finite sequence with last and largest term a(992) = 4921085673.
PROG
(Haskell)
import Data.IntSet (fromList, deleteFindMin, union)
import qualified Data.IntSet as Set (null)
a247800 n = a247800_list !! (n-1)
a247800_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 = [4, 9, 2, 1, 0, 8, 5, 7, 6, 3]
CROSSREFS
Intersection of A010784 and A247750.
Cf. A247801 (Danish), A247802 (Dutch), A053433 (English), A247803 (Finnish), A247804 (French), 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: A305707 A161979 A247810 * A092968 A177053 A151547
KEYWORD
nonn,base,word,fini,full
AUTHOR
Reinhard Zumkeller, Oct 05 2014
STATUS
approved