A247806 Numbers in decimal representation with distinct digits, such that in Hungarian 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, 20, 24, 25, 28, 29, 30, 32, 34, 35, 36, 37, 38, 39, 40, 45, 48, 60, 62, 64, 65, 67, 68, 69, 70, 72, 74, 75, 78, 79, 85, 90, 94, 95, 98, 105, 108, 120, 124, 125, 128, 129, 130, 132, 134, 135

Offset

1,3

Comments

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

1 _ egy, 3 _ három, 6 _ hat, 7 _ hét, 2 _ kettő, 9 _ kilenc, 4 _ négy, 0 _ nulla, 8 _ nyolc, 5 _ öt;

finite sequence with last and largest term a(1020) = 1367294085.

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)
a247806 n = a247806_list !! (n-1)
a247806_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, 3, 6, 7, 2, 9, 4, 0, 8, 5]

Crossrefs

Intersection of A010784 and A247756.

Cf. A247800 (Czech), A247801 (Danish), A247802 (Dutch), A053433 (English), A247803 (Finnish), A247804 (French), A247805 (German), A247807 (Italian), A247808 (Latin), A247810 (Polish), A247807 (Portuguese), A247811 (Russian), A247812 (Slovak), A247813 (Spanish), A247809 (Swedish), A247814 (Turkish).

Sequence in context: A249626 A102823 A179308 * A333501 A369092 A247801

Adjacent sequences: A247803 A247804 A247805 * A247807 A247808 A247809

Keyword

nonn,base,word,fini,full

Author

Reinhard Zumkeller, Oct 05 2014

Status

approved