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A247805
Numbers in decimal representation with distinct digits, such that in German their digits are in alphabetic order.
17
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.
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
KEYWORD
nonn,base,word,fini,full
AUTHOR
Reinhard Zumkeller, Oct 05 2014
STATUS
approved