A247801 Numbers in decimal representation with distinct digits, such that in Danish their digits are in alphabetic order.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 23, 40, 42, 43, 46, 47, 48, 49, 50, 52, 53, 54, 56, 57, 58, 59, 62, 63, 67, 72, 73, 82, 83, 86, 87, 90, 92, 93, 96, 97, 98, 102, 103, 106, 107, 108, 123, 140, 142, 143, 146, 147, 148, 149, 150

Offset

1,3

Comments

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

1 _ en/et, 5 _ fem, 4 _ fire, 9 _ ni, 0 _ nul, 8 _ otte, 6 _ seks, 7 _ syv, 2 _ to, 3 _ tre;

finite sequence with last and largest term a(992) = 1549086723.

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)
a247801 n = a247801_list !! (n-1)
a247801_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 = [1, 5, 4, 9, 0, 8, 6, 7, 2, 3]

Crossrefs

Intersection of A010784 and Cf. A247751.

Cf. A247800 (Czech), A247802 (Dutch), A053433 (English), A247803 (Finnish), A247804 (French), A247805 (German), A247806 (Hungarian), A247807 (Italian), A247808 (Latin), A247810 (Polish), A247807 (Portuguese), A247811 (Russian), A247812 (Slovak), A247813 (Spanish), A247809 (Swedish), A247814 (Turkish).

Sequence in context: A247806 A333501 A369092 * A247809 A004775 A231238

Adjacent sequences: A247798 A247799 A247800 * A247802 A247803 A247804

Keyword

nonn,base,word,fini,full

Author

Reinhard Zumkeller, Oct 05 2014

Status

approved