A247759 Numbers in decimal representation, such that in Swedish their digits are in alphabetic order.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 22, 28, 32, 33, 38, 40, 42, 43, 44, 46, 47, 48, 49, 50, 52, 53, 54, 55, 56, 57, 58, 59, 62, 63, 66, 67, 68, 72, 73, 77, 78, 88, 90, 92, 93, 96, 97, 98, 99, 100, 102, 103, 106, 107, 108, 110

Offset

1,3

Comments

List of decimal digits, alphabetically sorted by their names in Swedish: 1 _ en/ett, 5 _ fem, 4 _ fyra, 9 _ nio, 0 _ noll, 6 _ sex, 7 _ sju, 3 _ tre, 2 _ två, 8 _ åtta.

a(125005) = A247809(992) = 1549067328 is the greatest term not containing any repeating digits.

Links

Andrei Zabolotskii, Table of n, a(n) for n = 1..10000

Wikipedia, Zahlen in unterschiedlichen Sprachen

Wikipedia, List of numbers in various languages [deleted article]

Prog

(Haskell)
import Data.IntSet (fromList, deleteFindMin, union)
a247759 n = a247759_list !! (n-1)
a247759_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 = [1, 5, 4, 9, 0, 6, 7, 3, 2, 8]
(Python)
from itertools import count, islice, combinations_with_replacement as cwr
def agen(): # generator of terms
    yield 0
    for d in count(1):
        yield from sorted(int("".join(t)) for t in cwr("1549067328", d) if t[0] != "0")
print(list(islice(agen(), 60))) # Andrei Zabolotskii, Nov 11 2025, after Michael S. Branicky's code in A053432

Crossrefs

Cf. A247809 (subsequence).

Cf. A247750 (Czech), A247751 (Danish), A247752 (Dutch), A053432 (English), A247753 (Finnish), A247754 (French), A247755 (German), A247756 (Hungarian), A247757 (Italian), A247758 (Latin), A247760 (Polish), A247757 (Portuguese), A247761 (Russian), A247762 (Slovak), A161390 (Spanish), A247764 (Turkish).

Sequence in context: A247751 A059962 A057605 * A377912 A326872 A396694

Adjacent sequences: A247756 A247757 A247758 * A247760 A247761 A247762

Keyword

nonn,base,word,changed

Author

Reinhard Zumkeller, Oct 05 2014

Extensions

Corrected and edited, "Norwegian" dropped from name by Andrei Zabolotskii, Nov 11 2025

Status

approved