A247805 Numbers in decimal representation with distinct digits, such that in German their digits are in alphabetic order.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 17, 19, 30, 31, 32, 34, 35, 36, 37, 39, 42, 50, 52, 54, 56, 57, 59, 62, 64, 67, 72, 74, 80, 81, 82, 83, 84, 85, 86, 87, 89, 90, 92, 94, 96, 97, 102, 104, 106, 107, 142, 150, 152, 154, 156, 157, 159, 162, 164

Offset

1,3

Comments

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

8 _ acht, 3 _ drei, 1 _ eins, 5 _ fünf, 9 _ neun, 0 _ null, 6 _ sechs, 7 _ sieben, 4 _ vier, 2 _ zwei;

finite sequence with last and largest term a(1008) = 8315906742.

Links

Reinhard Zumkeller, Table of n, a(n) for n = 1..1008

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)
a247805 n = a247805_list !! (n-1)
a247805_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, 3, 1, 5, 9, 0, 6, 7, 4, 2]

Crossrefs

Intersection of A010784 and A247755.

Cf. A247800 (Czech), A247801 (Danish), A247802 (Dutch), A053433 (English), A247803 (Finnish), A247804 (French), 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: A136490 A129523 A243463 * A164713 A343185 A070331

Adjacent sequences: A247802 A247803 A247804 * A247806 A247807 A247808

Keyword

nonn,base,word,fini,full

Author

Reinhard Zumkeller, Oct 05 2014

Status

approved