A247760 Numbers in decimal representation, such that in Polish their digits are in alphabetic order.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 15, 16, 17, 18, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 33, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 53, 55, 56, 57, 60, 63, 66, 67, 70, 73, 77, 80, 83, 85, 86, 87, 88, 90, 91, 93, 95, 96, 97, 98, 99, 100, 110

Offset

1,3

Comments

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

4 _ cztery, 2 _ dwa/dwie, 9 _ dziewięć, 1 _ jeden/jedna/jedno, 8 _ osiem, 5 _ pięć, 6 _ sześć, 7 _ siedem, 3 _ trzy, 0 _ zero;

a(1134871) = A247810(1023) = 4291856730 is the greatest term not containing any repeating digits.

Links

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Wikipedia, Zahlen in unterschiedlichen Sprachen

Wikipedia, List of numbers in various languages

Prog

(Haskell)
import Data.IntSet (fromList, deleteFindMin, union)
a247760 n = a247760_list !! (n-1)
a247760_list = 0 : f (fromList [1..9]) where
   f s = x : f (s' `union`
         fromList (map (+ 10 * x) $ dropWhile (/= mod x 10) digs))
     where (x, s') = deleteFindMin s
   digs = [4, 2, 9, 1, 8, 5, 6, 7, 3, 0]

Crossrefs

Cf. A247810 (subsequence).

Cf. A247750 (Czech), A247751 (Danish), A247752 (Dutch), A053432 (English), A247753 (Finnish), A247754 (French), A247755 (German), A247756 (Hungarian), A247757 (Italian), A247758 (Latin), A247759 (Norwegian), A247757 (Portuguese), A247761 (Russian), A247762 (Slovak), A161390 (Spanish), A247759 (Swedish), A247764 (Turkish).

Sequence in context: A178156 A334294 A177054 * A247750 A051534 A032961

Adjacent sequences: A247757 A247758 A247759 * A247761 A247762 A247763

Keyword

nonn,base,word

Author

Reinhard Zumkeller, Oct 05 2014

Status

approved