A053433 Numbers with distinct digits in alphabetical order (in English).

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 16, 17, 20, 30, 32, 40, 41, 42, 43, 46, 47, 49, 50, 51, 52, 53, 54, 56, 57, 59, 60, 62, 63, 70, 72, 73, 76, 80, 81, 82, 83, 84, 85, 86, 87, 89, 90, 91, 92, 93, 96, 97, 120, 130, 132, 160, 162, 163, 170, 172, 173, 176

Offset

1,3

Comments

Largest term is 8549176320.

Links

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

Eric Weisstein's World of Mathematics, Word Sequence.

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)
a053433 n = a053433_list !! (n-1)
a053433_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, 5, 4, 9, 1, 7, 6, 3, 2, 0]
-- Reinhard Zumkeller, Oct 05 2014
(Python)
from itertools import combinations
afull = sorted(int("".join(t)) for d in range(1, 11) for t in combinations("8549176320", d))
print(afull[:65]) # Michael S. Branicky, Aug 17 2022

Crossrefs

Subsequence of A053432.

Cf. A247800 (Czech), A247801 (Danish), A247802 (Dutch), A247803 (Finnish), A247804 (French), A247805 (German), A247806 (Hungarian), A247807 (Italian), A247808 (Latin), A247809 (Norwegian), A247810 (Polish), A247807 (Portuguese), A247811 (Russian), A247812 (Slovak), A247813 (Spanish), A247809 (Swedish), A247814 (Turkish).

Sequence in context: A000926 A011875 A249575 * A091401 A278581 A191889

Adjacent sequences: A053430 A053431 A053432 * A053434 A053435 A053436

Keyword

easy,fini,nonn,word,base,full

Author

G. L. Honaker, Jr., Jan 10 2000

Status

approved