A247813 Numbers in decimal representation with distinct digits, such that in Spanish their digits are in alphabetic order.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 21, 23, 26, 27, 28, 29, 31, 41, 42, 43, 46, 47, 48, 49, 51, 52, 53, 54, 56, 57, 58, 59, 61, 63, 67, 71, 73, 81, 83, 86, 87, 91, 93, 96, 97, 98, 231, 261, 263, 267, 271, 273, 281, 283, 286, 287, 291, 293, 296, 297, 298, 421, 423

Offset

1,3

Comments

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

0 _ cero, 5 _ cinco, 4 _ cuatro, 2 _ dos, 9 _ nueve, 8 _ ocho, 6 _ seis, 7 _ siete, 3 _ tres, 1 _ uno/una;

finite sequence with last and largest term a(512) = 542986731.

Links

Reinhard Zumkeller, Table of n, a(n) for n = 1..512

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)
a247813 n = a247813_list !! (n-1)
a247813_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 = [0, 5, 4, 2, 9, 8, 6, 7, 3, 1]

Crossrefs

Intersection of A010784 and A161390 .

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), A247811 (Russian), A247812 (Slovak), A247809 (Swedish), A247814 (Turkish).

Sequence in context: A342304 A098951 A097962 * A122639 A344748 A342810

Adjacent sequences: A247810 A247811 A247812 * A247814 A247815 A247816

Keyword

nonn,base,word,fini,full

Author

Reinhard Zumkeller, Oct 05 2014

Status

approved