

A247758


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


18



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
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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 !! (n1)
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



