A053432 Numbers with digits in alphabetical order (in English).

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 16, 17, 20, 22, 30, 32, 33, 40, 41, 42, 43, 44, 46, 47, 49, 50, 51, 52, 53, 54, 55, 56, 57, 59, 60, 62, 63, 66, 70, 72, 73, 76, 77, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 96, 97, 99, 100

Offset

1,3

Comments

a(142447) = A053433(1023) = 8549176320 is the greatest term not containing any repeating digits. - Reinhard Zumkeller, Oct 05 2014

Links

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

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)
a053432 n = a053432_list !! (n-1)
a053432_list = 0 : f (fromList [1..9]) where
   f s = x : f (s' `union`
         fromList (map (+ 10 * x) $ 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 count, islice, combinations_with_replacement as cwr
def agen(): # generator of terms
    for d in count(1):
        out = sorted(int("".join(t)) for t in cwr("8549176320", d))
        yield from out[1-int(d==1):] # remove extra 0's
print(list(islice(agen(), 65))) # Michael S. Branicky, Aug 17 2022

Crossrefs

Cf. A247750 (Czech), A247751 (Danish), A247752 (Dutch), A247753 (Finnish), A247754 (French), A247755 (German), A247756 (Hungarian), A247757 (Italian), A247758 (Latin), A247759 (Norwegian), A247760 (Polish), A247757 (Portuguese), A247761 (Russian), A247762 (Slovak), A161390 (Spanish), A247759 (Swedish), A247764 (Turkish).

Sequence in context: A023782 A114522 A283657 * A349999 A261888 A154125

Adjacent sequences: A053429 A053430 A053431 * A053433 A053434 A053435

Keyword

nonn,base,word,easy

Author

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

Status

approved