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 A053432 Numbers with digits in alphabetical order (in English). 19
 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 (list; graph; refs; listen; history; text; internal format)
 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

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Last modified May 23 04:28 EDT 2024. Contains 372758 sequences. (Running on oeis4.)