A247750 Numbers in decimal representation, such that in Czech 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, 33, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 53, 55, 56, 57, 63, 66, 73, 76, 77, 83, 85, 86, 87, 88, 90, 91, 92, 93, 95, 96, 97, 98, 99, 100, 103, 105, 106, 107, 108

Offset

1,3

Comments

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

4 _ čtyři, 9 _ devět, 2 _ dva/dvě, 1 _ jeden/jedna/jedno, 0 _ nula, 8 _ osm, 5 _ pět, 7 _ sedm, 6 _ šest, 3 _ tři;

a(144740) = A247800(992) = 4921085763 is the greatest term not containing any repeating digits.

Links

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

Prog

(Haskell)
import Data.IntSet (fromList, deleteFindMin, union)
a247750 n = a247750_list !! (n-1)
a247750_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, 9, 2, 1, 0, 8, 5, 7, 6, 3]

Crossrefs

Cf. A247800 (subsequence).

Cf. A247751 (Danish), A247752 (Dutch), A053432 (English), A247753 (Finnish), A247754 (French), A247755 (German), A247756 (Hungarian), A247757 (Italian), A247758 (Latin), A247759 (Norwegian), A247760 (Polish), A247757 (Portuguese), A247761 (Russian), A247762 (Slovak), A161390 (Spanish), A247759 (Swedish), A247764 (Turkish).

Sequence in context: A334294 A177054 A247760 * A051534 A032961 A033063

Adjacent sequences: A247747 A247748 A247749 * A247751 A247752 A247753

Keyword

nonn,base,word

Author

Reinhard Zumkeller, Oct 05 2014

Status

approved