A247758 Numbers in decimal representation, such that in Latin their digits are in alphabetic order.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 33, 40, 41, 43, 44, 45, 46, 47, 50, 51, 53, 55, 56, 57, 60, 61, 63, 66, 67, 70, 71, 73, 77, 80, 81, 83, 84, 85, 86, 87, 88, 90, 91, 93, 94, 95, 96, 97, 98, 99, 100, 110

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;

a(131861) = A247808(1023) = 2984567310 is the greatest term not containing any repeating digits.

Links

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Wikipedia, Zahlen in unterschiedlichen Sprachen

Wikipedia, List of numbers in various languages

Prog

(Haskell)
import Data.IntSet (fromList, deleteFindMin, union)
a247758 n = a247758_list !! (n-1)
a247758_list = 0 : f (fromList [1..9]) where
   f s = x : f (s' `union`
         fromList (map (+ 10 * x) $ dropWhile (/= mod x 10) digs))
     where (x, s') = deleteFindMin s
   digs = [2, 9, 8, 4, 5, 6, 7, 3, 1, 0]

Crossrefs

Cf. A247808 (subsequence).

Cf. A247750 (Czech), A247751 (Danish), A247752 (Dutch), A053432 (English), A247753 (Finnish), A247754 (French), A247755 (German), A247756 (Hungarian), A247757 (Italian), A247759 (Norwegian), A247760 (Polish), A247757 (Portuguese), A247761 (Russian), A247762 (Slovak), A161390 (Spanish), A247759 (Swedish), A247764 (Turkish).

Sequence in context: A303948 A275413 A273376 * A247757 A247754 A084383

Adjacent sequences: A247755 A247756 A247757 * A247759 A247760 A247761

Keyword

nonn,base,word

Author

Reinhard Zumkeller, Oct 05 2014

Status

approved