A247756 Numbers in decimal representation, such that in Hungarian their digits are in alphabetic order.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 24, 25, 28, 29, 30, 32, 33, 34, 35, 36, 37, 38, 39, 40, 44, 45, 48, 55, 60, 62, 64, 65, 66, 67, 68, 69, 70, 72, 74, 75, 77, 78, 79, 85, 88, 90, 94, 95, 98, 99, 100, 105, 108, 110

Offset: 1

Author

Reinhard Zumkeller, Oct 05 2014

Keywords

• nonn
• base
• word

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.

a(127748) = A247806(1020) = 1367294085 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

Crossrefs

Cf. A247806 (subsequence).

Cf. A247750 (Czech), A247751 (Danish), A247752 (Dutch), A053432 (English), A247753 (Finnish), A247754 (French), A247755 (German), A247757 (Italian), A247758 (Latin), A247759 (Norwegian), A247760 (Polish), A247757 (Portuguese), A247761 (Russian), A247762 (Slovak), A161390 (Spanish), A247759 (Swedish), A247764 (Turkish).

Programs

Haskell

import Data.IntSet (fromList, deleteFindMin, union)
a247756 n = a247756_list !! (n-1)
a247756_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 = [1, 3, 6, 7, 2, 9, 4, 0, 8, 5]