A247800 Numbers in decimal representation with distinct digits, such that in Czech their digits are in alphabetic order.

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.

Links

Reinhard Zumkeller, Table of n, a(n) for n = 1..992

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)
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

Adjacent sequences: A247797 A247798 A247799 * A247801 A247802 A247803

Keyword

nonn,base,word,fini,full

Author

Reinhard Zumkeller, Oct 05 2014

Status

approved