A247802 Numbers in decimal representation with distinct digits, such that in Dutch their digits are in alphabetic order.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 19, 24, 25, 26, 27, 30, 32, 34, 35, 36, 37, 39, 45, 46, 47, 56, 57, 67, 80, 81, 82, 83, 84, 85, 86, 87, 89, 90, 92, 94, 95, 96, 97, 102, 104, 105, 106, 107, 124, 125, 126, 127, 130, 132, 134, 135, 136

Offset

1,3

Comments

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

8 _ acht, 1 _ een, 3 _ drie, 9 _ negen, 0 _ nul, 2 _ twee, 4 _ vier, 5 _ vijf, 6 _ zes, 7 _ zeven;

finite sequence with last and largest term a(992) = 8139024567.

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)
a247802 n = a247802_list !! (n-1)
a247802_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 = [8, 1, 3, 9, 0, 2, 4, 5, 6, 7]

Crossrefs

Intersection of A010784 and A247752.

Cf. A247800 (Czech), A247801 (Danish), 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: A332111 A072226 A247809 * A245028 A351467 A074402

Adjacent sequences: A247799 A247800 A247801 * A247803 A247804 A247805

Keyword

nonn,base,word,fini,full

Author

Reinhard Zumkeller, Oct 05 2014

Status

approved