A247810 Numbers in decimal representation with distinct digits, such that in Polish their digits are in alphabetic order.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 13, 15, 16, 17, 18, 20, 21, 23, 25, 26, 27, 28, 29, 30, 40, 41, 42, 43, 45, 46, 47, 48, 49, 50, 53, 56, 57, 60, 63, 67, 70, 73, 80, 83, 85, 86, 87, 90, 91, 93, 95, 96, 97, 98, 130, 150, 153, 156, 157, 160, 163, 167, 170, 173

Offset: 1

Author

Reinhard Zumkeller, Oct 05 2014

Keywords

• nonn
• base
• word
• fini
• full

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;

finite sequence with last and largest term a(1023) = 4291856730.

Links

• Reinhard Zumkeller, Table of n, a(n) for n = 1..1023

Crossrefs

Intersection of A010784 and A247760.

Cf. A247800 (Czech), A247801 (Danish), A247802 (Dutch), A053433 (English), A247803 (Finnish), A247804 (French), A247805 (German), A247806 (Hungarian), A247807 (Italian), A247808 (Latin), A247809 (Norwegian), A247807 (Portuguese), A247811 (Russian), A247812 (Slovak), A247813 (Spanish), A247809 (Swedish), A247814 (Turkish).

Programs

Haskell

import Data.IntSet (fromList, deleteFindMin, union)
import qualified Data.IntSet as Set (null)
a247810 n = a247810_list !! (n-1)
a247810_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 = [4, 2, 9, 1, 8, 5, 6, 7, 3, 0]