A247814 Numbers in decimal representation with distinct digits, such that in Turkish their digits are in alphabetic order.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 17, 18, 19, 20, 23, 27, 28, 37, 40, 42, 43, 47, 48, 50, 51, 52, 53, 54, 57, 58, 59, 60, 61, 62, 63, 64, 65, 67, 68, 69, 80, 83, 87, 90, 92, 93, 94, 97, 98, 103, 107, 120, 123, 127, 128, 137, 140, 142, 143, 147

Offset

1,3

Comments

List of decimal digits, alphabetically sorted by their names in Turkish:

6 _ altı, 5 _ beş, 1 _ bir, 9 _ dokuz, 4 _ dört, 2 _ iki, 8 _ sekiz, 0 _ sıfır, 3 _ üç, 7 _ yedi;

finite sequence with last and largest term a(1020) = 6519428037.

Links

Reinhard Zumkeller, Table of n, a(n) for n = 1..1020

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)
a247814 n = a247814_list !! (n-1)
a247814_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 = [6, 5, 1, 9, 4, 2, 8, 0, 3, 7]

Crossrefs

Intersection of A010784 and A247764.

Cf. A247800 (Czech), 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).

Sequence in context: A306424 A005524 A191890 * A082918 A301373 A354581

Adjacent sequences: A247811 A247812 A247813 * A247815 A247816 A247817

Keyword

nonn,base,word,fini,full

Author

Reinhard Zumkeller, Oct 05 2014

Status

approved