A247811 Numbers in decimal representation with distinct digits, such that in Russian their digits are in alphabetic order.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 13, 14, 15, 16, 17, 20, 21, 23, 24, 25, 26, 27, 29, 34, 36, 46, 53, 54, 56, 57, 73, 74, 76, 80, 81, 82, 83, 84, 85, 86, 87, 89, 90, 91, 93, 94, 95, 96, 97, 134, 136, 146, 153, 154, 156, 157, 173, 174, 176, 201, 203, 204, 205, 206

Offset: 1

Author

Reinhard Zumkeller, Oct 05 2014

Keywords

• nonn
• base
• word
• fini
• full

Comments

List of decimal digits and their transliterated names in Russian, sorted according to the Cyrillic alphabet:

8 vosem' [восемь], 2 dva/dve [два/две], 9 devjat' [девять], 0 nol'/nul' [ноль/нуль], 1 odin/odna/odno [один/одна/одно], 5 pjat' [пять], 7 sem' [семь], 3 tri [три], 4 četyre [четыре]; 6 šest’ [шесть];

finite sequence with last and largest term a(960) = 8290157346.

Links

• Andrey Zabolotskiy, Table of n, a(n) for n = 1..960
• Wikipedia, Zahlen in unterschiedlichen Sprachen.
• Wikipedia, List of numbers in various languages.
• Wikipedia, Russian alphabet.

Crossrefs

Intersection of A010784 and A247761.

Cf. A247800 (Czech), A247801 (Danish), A247802 (Dutch), A053433 (English), A247803 (Finnish), A247804 (French), A247805 (German), A247806 (Hungarian), A247807 (Italian), A247808 (Latin), A247809 (Norwegian), A247810 (Polish), A247807 (Portuguese), A247812 (Slovak), A247813 (Spanish), A247809 (Swedish), A247814 (Turkish).

Programs

Haskell

import Data.IntSet (fromList, deleteFindMin, union)
import qualified Data.IntSet as Set (null)
a247811 n = a247811_list !! (n-1)
a247811_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, 2, 9, 0, 1, 5, 7, 3, 4, 6]

Extensions

Corrected by Andrey Zabolotskiy, Dec 17 2016