

A247802


Numbers in decimal representation with distinct digits, such that in Dutch their digits are in alphabetic order.


17



0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 19, 24, 25, 26, 27, 30, 32, 34, 35, 36, 37, 39, 45, 46, 47, 56, 57, 67, 80, 81, 82, 83, 84, 85, 86, 87, 89, 90, 92, 94, 95, 96, 97, 102, 104, 105, 106, 107, 124, 125, 126, 127, 130, 132, 134, 135, 136
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OFFSET

1,3


COMMENTS

List of decimal digits, alphabetically sorted by their names in Dutch:
8 _ acht, 1 _ een, 3 _ drie, 9 _ negen, 0 _ nul, 2 _ twee, 4 _ vier, 5 _ vijf, 6 _ zes, 7 _ zeven;
finite sequence with last and largest term a(992) = 8139024567.


LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..992
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)
a247802 n = a247802_list !! (n1)
a247802_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, 1, 3, 9, 0, 2, 4, 5, 6, 7]


CROSSREFS

Intersection of A010784 and A247752.
Cf. A247800 (Czech), A247801 (Danish), A053433 (English), 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: A171987 A072226 A247809 * A245028 A074402 A233264
Adjacent sequences: A247799 A247800 A247801 * A247803 A247804 A247805


KEYWORD

nonn,base,word,fini,full


AUTHOR

Reinhard Zumkeller, Oct 05 2014


STATUS

approved



