

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
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OFFSET

1,3


COMMENTS

Largest term is 8549176320.


LINKS



PROG

(Haskell)
import Data.IntSet (fromList, deleteFindMin, union)
import qualified Data.IntSet as Set (null)
a053433 n = a053433_list !! (n1)
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]
(Python)
from itertools import combinations
afull = sorted(int("".join(t)) for d in range(1, 11) for t in combinations("8549176320", d))


CROSSREFS

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).


KEYWORD

easy,fini,nonn,word,base,full


AUTHOR



STATUS

approved



