A247751 -id:A247751 - cp's OEIS frontend

A247759 Numbers in decimal representation, such that in Norwegian and 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, 19, 22, 23, 33, 40, 42, 43, 44, 46, 47, 49, 50, 52, 53, 54, 55, 56, 57, 59, 62, 63, 66, 67, 69, 72, 73, 77, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 92, 93, 99, 100, 102, 103, 106, 107, 109

Offset: 1

Reinhard Zumkeller, Oct 05 2014

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;

a(141973) = A247809(992) = 8154067923 is the greatest term not containing any repeating digits.

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000
Wikipedia, Zahlen in unterschiedlichen Sprachen
Wikipedia, List of numbers in various languages

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).

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 = [8, 1, 5, 4, 0, 6, 7, 9, 2, 3]

A247760 Numbers in decimal representation, such that in Polish their digits are in alphabetic order.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 15, 16, 17, 18, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 33, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 53, 55, 56, 57, 60, 63, 66, 67, 70, 73, 77, 80, 83, 85, 86, 87, 88, 90, 91, 93, 95, 96, 97, 98, 99, 100, 110

Offset: 1

Reinhard Zumkeller, Oct 05 2014

List of decimal digits, alphabetically sorted by their names in Polish:
4  cztery, 2  dwa/dwie, 9  dziewięć, 1  jeden/jedna/jedno, 8  osiem, 5  pięć, 6  sześć, 7  siedem, 3  trzy, 0  zero;
a(1134871) = A247810(1023) = 4291856730 is the greatest term not containing any repeating digits.

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000
Wikipedia, Zahlen in unterschiedlichen Sprachen
Wikipedia, List of numbers in various languages

Cf. A247810 (subsequence).

Cf. A247750 (Czech), A247751 (Danish), A247752 (Dutch), A053432 (English), A247753 (Finnish), A247754 (French), A247755 (German), A247756 (Hungarian), A247757 (Italian), A247758 (Latin), A247759 (Norwegian), A247757 (Portuguese), A247761 (Russian), A247762 (Slovak), A161390 (Spanish), A247759 (Swedish), A247764 (Turkish).

import Data.IntSet (fromList, deleteFindMin, union)
a247760 n = a247760_list !! (n-1)
a247760_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 = [4, 2, 9, 1, 8, 5, 6, 7, 3, 0]

A247761 Numbers in decimal representation, such that in Russian their digits are in alphabetic order.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 13, 14, 15, 16, 17, 20, 21, 22, 23, 24, 25, 26, 27, 29, 33, 34, 36, 44, 46, 53, 54, 55, 56, 57, 66, 73, 74, 76, 77, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 93, 94, 95, 96, 97, 99, 111, 113, 114, 115, 116, 117, 133, 134

Offset: 1

Reinhard Zumkeller, Oct 05 2014

List of decimal digits and their transliterated names in Russian, sorted according to the Cyrillic alphabet:

8 vosem' [восемь], 2 dva/dve [два/две], 9 devjat' [девять], 0 nol'/nul' [ноль/нуль], 1 odin/odna/odno [один/одна/одно], 5 pjat' [пять], 7 sem' [семь], 3 tri [три], 4 četyre [четыре]; 6 šest’ [шесть].

Andrey Zabolotskiy, Table of n, a(n) for n = 1..10000
Wikipedia, Zahlen in unterschiedlichen Sprachen.
Wikipedia, List of numbers in various languages.
Wikipedia, Russian alphabet.

Cf. A247811 (subsequence).

Cf. A247750 (Czech), A247751 (Danish), A247752 (Dutch), A053432 (English), A247753 (Finnish), A247754 (French), A247755 (German), A247756 (Hungarian), A247757 (Italian), A247758 (Latin), A247759 (Norwegian), A247760 (Polish), A247757 (Portuguese), A247762 (Slovak), A161390 (Spanish), A247759 (Swedish), A247764 (Turkish).

import Data.IntSet (fromList, deleteFindMin, union)
a247761 n = a247761_list !! (n-1)
a247761_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 = [8, 2, 9, 0, 1, 5, 7, 3, 4, 6]

Corrected by Konstantin Knop, Dec 09 2016

A247762 Numbers in decimal representation, such that in Slovak their digits are in alphabetic order.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 25, 26, 27, 28, 33, 43, 44, 53, 54, 55, 56, 57, 63, 64, 66, 73, 74, 76, 77, 83, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 103, 104, 105, 106, 107, 108

Offset: 1

Reinhard Zumkeller, Oct 05 2014

List of decimal digits, alphabetically sorted by their names in Slovak:
9  deväť, 2  dva/dvaja/dve, 1  jeden/jedna/jedno, 0  nula, 8  osem, 5  päť, 7  sedem, 6  šesť, 4  štyri /štyria, 3  tri/traja;
a(136584) = A247812(960) = 9210857643 is the greatest term not containing any repeating digits.

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000
Wikipedia, Zahlen in unterschiedlichen Sprachen
Wikipedia, List of numbers in various languages

Cf. A247812 (subsequence).

Cf. A247750 (Czech), A247751 (Danish), A247752 (Dutch), A053432 (English), A247753 (Finnish), A247754 (French), A247755 (German), A247756 (Hungarian), A247757 (Italian), A247758 (Latin), A247759 (Norwegian), A247760 (Polish), A247757 (Portuguese), A247761 (Russian), A161390 (Spanish), A247759 (Swedish), A247764 (Turkish).

import Data.IntSet (fromList, deleteFindMin, union)
a247762 n = a247762_list !! (n-1)
a247762_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 = [9, 2, 1, 0, 8, 5, 7, 6, 4, 3]

A247764 Numbers in decimal representation, such that in Turkish their digits are in alphabetic order.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 18, 19, 20, 22, 23, 27, 28, 33, 37, 40, 42, 43, 44, 47, 48, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 77, 80, 83, 87, 88, 90, 92, 93, 94, 97, 98, 99, 100, 103, 107, 110

Offset: 1

Reinhard Zumkeller, Oct 05 2014

List of decimal digits, alphabetically sorted by their names in Turkish:
6  altı, 5  beş, 1  bir, 9  dokuz, 4  dört, 2  iki, 8  sekiz, 0  sıfır, 3  üç, 7  yedi;
a(141728) = A247814(1020) = 6519428037 is the greatest term not containing any repeating digits.

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000
Wikipedia, Zahlen in unterschiedlichen Sprachen
Wikipedia, List of numbers in various languages

Cf. A247814 (subsequence).

Cf. A247750 (Czech), A247751 (Danish), A247752 (Dutch), A053432 (English), A247753 (Finnish), A247754 (French), A247755 (German), A247756 (Hungarian), A247757 (Italian), A247758 (Latin), A247759 (Norwegian), A247760 (Polish), A247757 (Portuguese), A247761 (Russian), A247762 (Slovak), A161390 (Spanish), A247759 (Swedish).

import Data.IntSet (fromList, deleteFindMin, union)
a247764 n = a247764_list !! (n-1)
a247764_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 = [6, 5, 1, 9, 4, 2, 8, 0, 3, 7]

A247801 Numbers in decimal representation with distinct digits, such that in Danish their digits are in alphabetic order.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 23, 40, 42, 43, 46, 47, 48, 49, 50, 52, 53, 54, 56, 57, 58, 59, 62, 63, 67, 72, 73, 82, 83, 86, 87, 90, 92, 93, 96, 97, 98, 102, 103, 106, 107, 108, 123, 140, 142, 143, 146, 147, 148, 149, 150

Offset: 1

Reinhard Zumkeller, Oct 05 2014

List of decimal digits, alphabetically sorted by their names in Danish:
1  en/et, 5  fem, 4  fire, 9  ni, 0  nul, 8  otte, 6  seks, 7  syv, 2  to, 3  tre;
finite sequence with last and largest term a(992) = 1549086723.

Reinhard Zumkeller, Table of n, a(n) for n = 1..992
Wikipedia, Zahlen in unterschiedlichen Sprachen
Wikipedia, List of numbers in various languages

Intersection of A010784 and Cf. A247751.

Cf. A247800 (Czech), A247802 (Dutch), A053433 (English), A247803 (Finnish), A247804 (French), A247805 (German), A247806 (Hungarian), A247807 (Italian), A247808 (Latin), A247809 (Norwegian), A247810 (Polish), A247807 (Portuguese), A247811 (Russian), A247812 (Slovak), A247813 (Spanish), A247809 (Swedish), A247814 (Turkish).

import Data.IntSet (fromList, deleteFindMin, union)
import qualified Data.IntSet as Set (null)
a247801 n = a247801_list !! (n-1)
a247801_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 = [1, 5, 4, 9, 0, 8, 6, 7, 2, 3]

A291663 Numbers beginning with a vowel in Danish.

Original entry on oeis.org

1, 8, 11, 18, 21, 28, 31, 38, 41, 48, 51, 58, 61, 68, 71, 78, 81, 88, 91, 98, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149

Offset: 1

Halfdan Skjerning, Aug 29 2017

The sequence of words is: en, otte, elleve, atten, enogtyve, otteogtyve, enogtredive, otteogtredive, enogfyrre, otteogfyrre, enoghalvtreds, otteoghalvtreds, enogtreds, otteogtreds, enoghalvfjerds, ...

Halfdan Skjerning, Table of n, a(n) for n = 1..150
Brady Haran and Tom Scott, 58 and other Confusing Numbers, Numberphile video (2015)
Wikipedia, List of numbers in various languages

Cf. A000861, A079741, A098060, A247751, A291621.

Select[Range@ 149, With[{d = IntegerDigits@ #}, MemberQ[{1, 8}, If[Length@ d == 2, First@ Reverse@ d, First@ d]]] &] (* Michael De Vlieger, Aug 30 2017 *)

All numbers beginning with '1' or '8', except for two-digit numbers that do not end in '1' or '8'.

A291621 Numbers ending with a vowel in Danish.

Original entry on oeis.org

2, 3, 4, 8, 9, 10, 11, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 33, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 100, 102, 103, 104, 108, 109, 110, 111, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 200

Offset: 1

Halfdan Skjerning, Aug 28 2017

The sequence of words is: to, tre, fire, otte, ni, ti, elleve, tyve, enogtyve, toogtyve, treogtyve, ...
In Danish, when pronouncing a two-digit number, the last number is mentioned first; for example, '21' is "enogtyve" ["one-and-twenty"], and '121' is "ethundredeogenogtyve" ["one-hundred-and-one-and-twenty"].
All numbers ending with 02, 03, 04, 08, 09, 10, 3n, 4n, n00, or n000 will end in a vowel.
Please note that '100' can be both spelled and pronounced as "hundrede", "ethundrede", "hundred" and "ethundred"; similarly, '1000' can be spelled "tusinde", "ettusinde", "tusind" and "ettusind". The "et" in "ethundrede" is often omitted in daily speech.

Den Danske Ordbog, hundrede
Den Danske Ordbog, tusinde
Brady Haran and Tom Scott, 58 and other Confusing Numbers, Numberphile video (2015)
Wikipedia, List of numbers in various languages

Cf. A000861, A079741, A098060, A247751.

All numbers ending with 02, 03, 04, 08, 09, 10, 3n, 4n, n00, n000.

A291664 Numbers beginning and ending with a vowel in Danish.

Original entry on oeis.org

8, 11, 21, 28, 31, 38, 41, 48, 100, 102, 103, 104, 108, 109, 110, 111, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 802, 803, 804, 808, 809, 811, 820, 821, 822, 823, 824, 825, 826

Offset: 1

Halfdan Skjerning, Aug 29 2017

The sequence of words is: otte, elleve, enogtyve, otteogtyve, enogtredive, otteogtredive.
In Danish, when pronouncing a two-digit number, the last number is mentioned first; for example, '21' is "enogtyve" ["one-and-twenty"], and '121' is "ethundredeogenogtyve" ["one-hundred-and-one-and-twenty"].
Please note that '100' can be both spelled and pronounced as "hundrede", "ethundrede", "hundred" and "ethundred"; similarly, '1000' can be spelled "tusinde", "ettusinde", "tusind" and "ettusind". The "et" in "ethundrede" is often omitted in daily speech.
Intersection of A291621 and A291663. - Iain Fox, Oct 17 2017

Brady Haran and Tom Scott, 58 and other Confusing Numbers, Numberphile video (2015)
Wikipedia, List of numbers in various languages

Cf. A000861, A079741, A098060, A247751, A291621, A291663.

All numbers beginning with '1' or '8', except for two-digit numbers that do not end in '1' or '8', and that also end with 02, 03, 04, 08, 09, 10, 3n, 4n, n00, or n000 will begin and end with a vowel.

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

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A247760 Numbers in decimal representation, such that in Polish their digits are in alphabetic order.

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A247761 Numbers in decimal representation, such that in Russian their digits are in alphabetic order.

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A247762 Numbers in decimal representation, such that in Slovak their digits are in alphabetic order.

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A247764 Numbers in decimal representation, such that in Turkish their digits are in alphabetic order.

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A247801 Numbers in decimal representation with distinct digits, such that in Danish their digits are in alphabetic order.

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A291663 Numbers beginning with a vowel in Danish.

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A291621 Numbers ending with a vowel in Danish.

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A291664 Numbers beginning and ending with a vowel in Danish.

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