A247809 Numbers in decimal representation with distinct digits, such that in Norwegian and Swedish their digits are in alphabetic order.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 19, 23, 40, 42, 43, 46, 47, 49, 50, 52, 53, 54, 56, 57, 59, 62, 63, 67, 69, 72, 73, 79, 80, 81, 82, 83, 84, 85, 86, 87, 89, 92, 93, 102, 103, 106, 107, 109, 123, 140, 142, 143, 146, 147, 149, 150, 152

Offset

1,3

Comments

List of decimal digits, alphabetically sorted by their names in Norwegian resp. Swedish: 8 _ åtte _ åtta, 1 _ en/ett _ en/ett, 5 _ fem _ fem, 4 _ fire _ fyra, 0 _ null _ noll, 6 _ seks _ sex, 7 _ syv/sju _ sju, 9 _ ti _ tio, 2 _ to _ två, 3 _ tre _ tre;

Finite sequence with last and largest term a(992) = 8154067923.

From Charles Coker, Jul 18 2019: (Start)

The word tio (10) should probably be nio (9). Sources: 1) Wikipedia, List of numbers in various languages: Germanic languages, 2) Swedish Language Blog, Swedish numbers 1-100.

The names are sorted using English sorting rules. In Swedish, the letter Å/å, like in åtta (8), comes after z. Alphabetical order is a, ..., z, å, ä, ö. Using Swedish sorting rules and nio for 9, the sequence for 0-9 would be 1, 5, 4, 9, 0, 6, 7, 3, 2, 8. Sources: 1) Swedish speaker (not me), 2) Wikipedia: Swedish alphabet.

(End)

Links

Reinhard Zumkeller, Table of n, a(n) for n = 1..992

Swedish Language Blog, Swedish numbers 1-100

Wikipedia, Zahlen in unterschiedlichen Sprachen

Wikipedia, List of numbers in various languages

Wikipedia, List of numbers in various languages: Germanic languages

Wikipedia, Swedish alphabet

Prog

(Haskell)
import Data.IntSet (fromList, deleteFindMin, union)
import qualified Data.IntSet as Set (null)
a247809 n = a247809_list !! (n-1)
a247809_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, 5, 4, 0, 6, 7, 9, 2, 3]

Crossrefs

Intersection of A010784 and A247759.

Cf. A247800 (Czech), A247801 (Danish), A247802 (Dutch), A053433 (English), A247803 (Finnish), A247804 (French), A247805 (German), A247806 (Hungarian), A247807 (Italian), A247808 (Latin), A247810 (Polish), A247807 (Portuguese), A247811 (Russian), A247812 (Slovak), A247813 (Spanish), A247814 (Turkish).

Sequence in context: A171987 A332111 A072226 * A247802 A245028 A351467

Adjacent sequences: A247806 A247807 A247808 * A247810 A247811 A247812

Keyword

nonn,base,word,fini,full

Author

Reinhard Zumkeller, Oct 05 2014

Status

approved