A053432 -id:A053432 - cp's OEIS frontend

A247751 Numbers in decimal representation, such that in Danish 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, 23, 33, 40, 42, 43, 44, 46, 47, 48, 49, 50, 52, 53, 54, 55, 56, 57, 58, 59, 62, 63, 66, 67, 72, 73, 77, 82, 83, 86, 87, 88, 90, 92, 93, 96, 97, 98, 99, 100, 102, 103, 106, 107, 108

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;
a(124929) = A247801(992) = 1549086723 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. A247801 (subsequence).

Cf. A247750 (Czech), 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), A247764 (Turkish).

import Data.IntSet (fromList, deleteFindMin, union)
a247751 n = a247751_list !! (n-1)
a247751_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, 8, 6, 7, 2, 3]

A053433 Numbers with distinct digits in alphabetical order (in English).

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 16, 17, 20, 30, 32, 40, 41, 42, 43, 46, 47, 49, 50, 51, 52, 53, 54, 56, 57, 59, 60, 62, 63, 70, 72, 73, 76, 80, 81, 82, 83, 84, 85, 86, 87, 89, 90, 91, 92, 93, 96, 97, 120, 130, 132, 160, 162, 163, 170, 172, 173, 176

Offset: 1

G. L. Honaker, Jr., Jan 10 2000

Largest term is 8549176320.

Reinhard Zumkeller, Table of n, a(n) for n = 1..1023
Eric Weisstein's World of Mathematics, Word Sequence.
Wikipedia, Zahlen in unterschiedlichen Sprachen
Wikipedia, List of numbers in various languages

Subsequence of A053432.

Cf. A247800 (Czech), A247801 (Danish), A247802 (Dutch), 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)
a053433 n = a053433_list !! (n-1)
a053433_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 = [8, 5, 4, 9, 1, 7, 6, 3, 2, 0]
-- Reinhard Zumkeller, Oct 05 2014

from itertools import combinations
afull = sorted(int("".join(t)) for d in range(1, 11) for t in combinations("8549176320", d))
print(afull[:65]) # Michael S. Branicky, Aug 17 2022

A161390 Numbers with digits in alphabetical order (in Spanish).

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 21, 22, 23, 26, 27, 28, 29, 31, 33, 41, 42, 43, 44, 46, 47, 48, 49, 51, 52, 53, 54, 55, 56, 57, 58, 59, 61, 63, 66, 67, 71, 73, 77, 81, 83, 86, 87, 88, 91, 93, 96, 97, 98, 99, 111, 211

Offset: 1

Claudio Meller, Jun 08 2009

List of decimal digits, alphabetically sorted by their names in Spanish:
0  cero, 5  cinco, 4  cuatro, 2  dos, 9  nueve, 8  ocho, 6  seis, 7  siete, 3  tres, 1  uno/una. - Reinhard Zumkeller, Oct 05 2014
a(36233) = A247813(512) = 542986731 is the greatest term not containing any repeating digits. - Reinhard Zumkeller, Oct 05 2014

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

Cf. A247813 (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), A247759 (Swedish), A247764 (Turkish).

import Data.IntSet (fromList, deleteFindMin, union)
a161390 n = a161390_list !! (n-1)
a161390_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 = [0, 5, 4, 2, 9, 8, 6, 7, 3, 1]
-- Reinhard Zumkeller, Oct 18 2014

sub isA161390 {
  shift =~ m/^(0|5*4*2*9*8*6*7*3*1*)$/
}

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

Original entry on oeis.org

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

Reinhard Zumkeller, Oct 05 2014

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.

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

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).

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]

A247750 Numbers in decimal representation, such that in Czech 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, 33, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 53, 55, 56, 57, 63, 66, 73, 76, 77, 83, 85, 86, 87, 88, 90, 91, 92, 93, 95, 96, 97, 98, 99, 100, 103, 105, 106, 107, 108

Offset: 1

Reinhard Zumkeller, Oct 05 2014

List of decimal digits, alphabetically sorted by their names in Czech:
4  čtyři, 9  devět, 2  dva/dvě, 1  jeden/jedna/jedno, 0  nula, 8  osm, 5  pět, 7  sedm, 6  šest, 3  tři;
a(144740) = A247800(992) = 4921085763 is the greatest term not containing any repeating digits.

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

Cf. A247800 (subsequence).

Cf. 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), A247764 (Turkish).

import Data.IntSet (fromList, deleteFindMin, union)
a247750 n = a247750_list !! (n-1)
a247750_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, 9, 2, 1, 0, 8, 5, 7, 6, 3]

A247752 Numbers in decimal representation, such that in Dutch 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, 15, 16, 17, 19, 22, 24, 25, 26, 27, 30, 32, 33, 34, 35, 36, 37, 39, 44, 45, 46, 47, 55, 56, 57, 66, 67, 77, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 92, 94, 95, 96, 97, 99, 100, 102, 104, 105, 106, 107

Offset: 1

Reinhard Zumkeller, Oct 05 2014

List of decimal digits, alphabetically sorted by their names in Dutch:
8  acht, 1  een, 3  drie, 9  negen, 0  nul, 2  twee, 4  vier, 5  vijf, 6  zes, 7  zeven;
a(137654) = A247802(992) = 8139024567 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. A247802 (subsequence).

Cf. A247750 (Czech), A247751 (Danish), 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), A247764 (Turkish).

import Data.IntSet (fromList, deleteFindMin, union)
a247752 n = a247752_list !! (n-1)
a247752_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, 3, 9, 0, 2, 4, 5, 6, 7]

A247753 Numbers in decimal representation, such that in Finnish their digits are in alphabetic order.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 20, 21, 22, 23, 24, 25, 26, 27, 29, 30, 31, 33, 34, 35, 36, 37, 39, 40, 41, 44, 45, 47, 49, 51, 55, 59, 60, 61, 64, 65, 66, 67, 69, 71, 75, 77, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 91, 99, 111, 200, 201, 205, 207, 209

Offset: 1

Reinhard Zumkeller, Oct 05 2014

List of decimal digits, alphabetically sorted by their names in Finnish:
8  kahdeksan, 2  kaksi, 3  kolme, 6  kuusi, 4  neljä, 0  nolla, 7  seitsemän, 5  viisi, 9  yhdeksän, 1  yksi;
a(143982) = A247803(1008) = 8236407591 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. A247803 (subsequence).

Cf. A247750 (Czech), A247751 (Danish), A247752 (Dutch), A053432 (English), A247754 (French), A247755 (German), A247756 (Hungarian), A247757 (Italian), A247758 (Latin), A247759 (Norwegian), A247760 (Polish), A247757 (Portuguese), A247761 (Russian), A247762 (Slovak), A161390 (Spanish), A247759 (Swedish), A247764 (Turkish).

import Data.IntSet (fromList, deleteFindMin, union)
a247753 n = a247753_list !! (n-1)
a247753_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, 3, 6, 4, 0, 7, 5, 9, 1]

A247754 Numbers in decimal representation, such that in French their digits are in alphabetic order.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 20, 21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 33, 40, 41, 43, 44, 46, 47, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 63, 66, 70, 71, 73, 76, 77, 80, 81, 83, 84, 86, 87, 88, 89, 90, 91, 93, 94, 96, 97, 99, 100, 110

Offset: 1

Reinhard Zumkeller, Oct 05 2014

List of decimal digits, alphabetically sorted by their names in French:
5  cinq, 2  deux, 8  huit, 9  neuf, 4  quatre, 7  sept, 6  six, 3  trois, 1  un, 0  zéro;
a(129217) = A247804(1023) = 5289476310 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. A247804 (subsequence).

Cf. A247750 (Czech), A247751 (Danish), A247752 (Dutch), A053432 (English), A247753 (Finnish), A247755 (German), A247756 (Hungarian), A247757 (Italian), A247758 (Latin), A247759 (Norwegian), A247760 (Polish), A247757 (Portuguese), A247761 (Russian), A247762 (Slovak), A161390 (Spanish), A247759 (Swedish), A247764 (Turkish).

import Data.IntSet (fromList, deleteFindMin, union)
a247754 n = a247754_list !! (n-1)
a247754_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 = [5, 2, 8, 9, 4, 7, 6, 3, 1, 0]

A247755 Numbers in decimal representation, such that in German their digits are in alphabetic order.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 19, 22, 30, 31, 32, 33, 34, 35, 36, 37, 39, 42, 44, 50, 52, 54, 55, 56, 57, 59, 62, 64, 66, 67, 72, 74, 77, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 92, 94, 96, 97, 99, 100, 102, 104, 106, 107, 110

Offset: 1

Reinhard Zumkeller, Oct 05 2014

List of decimal digits, alphabetically sorted by their names in German:
8  acht, 3  drei, 1  eins, 5  fünf, 9  neun, 0  null, 6  sechs, 7  sieben, 4  vier, 2  zwei;
a(142055) = A247805(1008) = 8315906742 is the greatest term not containing any repeated 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. A247805 (subsequence).

Cf. A247750 (Czech), A247751 (Danish), A247752 (Dutch), A053432 (English), A247753 (Finnish), A247754 (French), A247756 (Hungarian), A247757 (Italian), A247758 (Latin), A247759 (Norwegian), A247760 (Polish), A247757 (Portuguese), A247761 (Russian), A247762 (Slovak), A161390 (Spanish), A247759 (Swedish), A247764 (Turkish).

import Data.IntSet (fromList, deleteFindMin, union)
a247755 n = a247755_list !! (n-1)
a247755_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, 3, 1, 5, 9, 0, 6, 7, 4, 2]

A247756 Numbers in decimal representation, such that in Hungarian 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, 15, 16, 17, 18, 19, 20, 22, 24, 25, 28, 29, 30, 32, 33, 34, 35, 36, 37, 38, 39, 40, 44, 45, 48, 55, 60, 62, 64, 65, 66, 67, 68, 69, 70, 72, 74, 75, 77, 78, 79, 85, 88, 90, 94, 95, 98, 99, 100, 105, 108, 110

Offset: 1

Reinhard Zumkeller, Oct 05 2014

List of decimal digits, alphabetically sorted by their names in Hungarian:
1  egy, 3  három, 6  hat, 7  hét, 2  kettő, 9  kilenc, 4  négy, 0  nulla, 8  nyolc, 5  öt.
a(127748) = A247806(1020) = 1367294085 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. A247806 (subsequence).

Cf. A247750 (Czech), A247751 (Danish), A247752 (Dutch), A053432 (English), A247753 (Finnish), A247754 (French), A247755 (German), A247757 (Italian), A247758 (Latin), A247759 (Norwegian), A247760 (Polish), A247757 (Portuguese), A247761 (Russian), A247762 (Slovak), A161390 (Spanish), A247759 (Swedish), A247764 (Turkish).

import Data.IntSet (fromList, deleteFindMin, union)
a247756 n = a247756_list !! (n-1)
a247756_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, 3, 6, 7, 2, 9, 4, 0, 8, 5]

cp's OEIS Frontend

A247751 Numbers in decimal representation, such that in Danish their digits are in alphabetic order.

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A053433 Numbers with distinct digits in alphabetical order (in English).

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Python

A161390 Numbers with digits in alphabetical order (in Spanish).

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

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Haskell

A247750 Numbers in decimal representation, such that in Czech their digits are in alphabetic order.

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Haskell

A247752 Numbers in decimal representation, such that in Dutch their digits are in alphabetic order.

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Haskell

A247753 Numbers in decimal representation, such that in Finnish their digits are in alphabetic order.

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Haskell

A247754 Numbers in decimal representation, such that in French their digits are in alphabetic order.

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Haskell

A247755 Numbers in decimal representation, such that in German their digits are in alphabetic order.

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