A247808 Numbers in decimal representation with distinct digits, such that in Latin their digits are in alphabetic order.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 20, 21, 23, 24, 25, 26, 27, 28, 29, 30, 31, 40, 41, 43, 45, 46, 47, 50, 51, 53, 56, 57, 60, 61, 63, 67, 70, 71, 73, 80, 81, 83, 84, 85, 86, 87, 90, 91, 93, 94, 95, 96, 97, 98, 210, 230, 231, 240, 241, 243, 245, 246, 247, 250

Offset

1,3

Comments

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

2 _ duo/duae/duo, 9 _ novem, 8 _ octo, 4 _ quattuor, 5 _ quinque, 6 _ sex, 7 _ septem, 3 _ tres/tria, 1 _ unus/una/unum, 0 _ zipherum;

finite sequence with last and largest term a(1023) = 2984567310.

Links

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

Wikipedia, Zahlen in unterschiedlichen Sprachen

Wikipedia, List of numbers in various languages

Prog

(Haskell)
import Data.IntSet (fromList, deleteFindMin, union)
import qualified Data.IntSet as Set (null)
a247808 n = a247808_list !! (n-1)
a247808_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 = [2, 9, 8, 4, 5, 6, 7, 3, 1, 0]

Crossrefs

Intersection of A010784 and A247758.

Cf. A247800 (Czech), A247801 (Danish), A247802 (Dutch), A053433 (English), A247803 (Finnish), A247804 (French), A247805 (German), A247806 (Hungarian), A247807 (Italian), A247809 (Norwegian), A247810 (Polish), A247807 (Portuguese), A247811 (Russian), A247812 (Slovak), A247813 (Spanish), A247809 (Swedish), A247814 (Turkish).

Sequence in context: A247143 A257128 A339541 * A247807 A247804 A032865

Adjacent sequences: A247805 A247806 A247807 * A247809 A247810 A247811

Keyword

nonn,base,word,fini,full

Author

Reinhard Zumkeller, Oct 05 2014

Status

approved