|
|
A247808
|
|
Numbers in decimal representation with distinct digits, such that in Latin their digits are in alphabetic order.
|
|
17
|
|
|
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 20, 21, 23, 24, 25, 26, 27, 28, 29, 30, 31, 40, 41, 43, 45, 46, 47, 50, 51, 53, 56, 57, 60, 61, 63, 67, 70, 71, 73, 80, 81, 83, 84, 85, 86, 87, 90, 91, 93, 94, 95, 96, 97, 98, 210, 230, 231, 240, 241, 243, 245, 246, 247, 250
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,3
|
|
COMMENTS
|
List of decimal digits, alphabetically sorted by their names in Latin:
2 _ duo/duae/duo, 9 _ novem, 8 _ octo, 4 _ quattuor, 5 _ quinque, 6 _ sex, 7 _ septem, 3 _ tres/tria, 1 _ unus/una/unum, 0 _ zipherum;
finite sequence with last and largest term a(1023) = 2984567310.
|
|
LINKS
|
|
|
PROG
|
(Haskell)
import Data.IntSet (fromList, deleteFindMin, union)
import qualified Data.IntSet as Set (null)
a247808 n = a247808_list !! (n-1)
a247808_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 = [2, 9, 8, 4, 5, 6, 7, 3, 1, 0]
|
|
CROSSREFS
|
Cf. A247800 (Czech), A247801 (Danish), A247802 (Dutch), A053433 (English), A247803 (Finnish), A247804 (French), A247805 (German), A247806 (Hungarian), A247807 (Italian), A247809 (Norwegian), A247810 (Polish), A247807 (Portuguese), A247811 (Russian), A247812 (Slovak), A247813 (Spanish), A247809 (Swedish), A247814 (Turkish).
|
|
KEYWORD
|
nonn,base,word,fini,full
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|