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 A053433 Numbers with distinct digits in alphabetical order (in English). 19
 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 (list; graph; refs; listen; history; text; internal format)
 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

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Last modified May 29 00:29 EDT 2024. Contains 372921 sequences. (Running on oeis4.)