A108067 -id:A108067 - cp's OEIS frontend

A004740 Integers in alphabetical order in U.S. English.

8, 8000000000, 8000000008, 8000000018, 8000000080, 8000000088, 8000000085

Offset: 1

Jasper Mulder, Jan 25 2010, comments that this sequence is ill-defined, since there are an infinite number of cardinal numbers that start with a 'd', namely all those powers of 10 named decillion, duodecillion and so on (see http://en.wikipedia.org/wiki/English_numerals).

However, it would seem then that 'billion' and 'centillion' also precede these, while it is standard (and systematic for this sequence) to refer to such numbers as 'one billion', 'one decillion', etc. - Yasiru Ratnayake, May 03 2012

			The list begins "eight", "eight billion", "eight billion eight", ... [corrected by _Paul Duckett_, Nov 26 2023]

F. Smarandache, Sequences of Numbers Involved in Unsolved Problems, Hexis, Phoenix, 2006.

F. Smarandache, Sequences of Numbers Involved in Unsolved Problems.

Cf. A019440, A026081. See A108067 for another version.

Cf. A073327, A152611, A075831, A000052.

A152611 Assign weights to the nonnegative integers as in A073327, then sort them by weight.

Original entry on oeis.org

1, 10, 5, 9, 8, 6, 3, 2, 4, 11, 0, 7, 15, 50, 18, 80, 40, 19, 12, 90, 16, 60, 13, 30, 51, 14, 20, 1000000000, 55, 59, 81, 100, 17, 70, 58, 5000000000, 9000000000, 85, 89, 500, 900, 1000000000000000000000000000000000, 41, 56, 91, 53, 8000000000, 88, 800, 52

Offset: 1

Matthew Goers, Oct 26 2009, Nov 02 2009, Nov 03 2009

We are using U.S. spelling, as in A108067 rather than A004740, and we ignore hyphens and spaces.

In the case of ties, sort by numerical value.

			Let wt(n) = A073327(n) denote the weight of n. We have wt(1) = 34 < wt(10) = 39 < wt(5) = 42 = wt(9) = 42 < wt(8) = 49 < ...

A119796 Zero through ten in alphabetical order of English reverse spelling.

Original entry on oeis.org

3, 9, 1, 5, 10, 7, 0, 2, 4, 8, 6

Offset: 1

Jonathan Vos Post, Jul 30 2006

			a(1) = 3 because EERHT comes alphabetically first.
a(2) = 9 because ENIN comes alphabetically second.
a(3) = 1 because ENO comes alphabetically third.
a(4) = 5 because EVIF comes alphabetically fourth.

Cf. A000052, A004740, A019440, A026081, A001058, A057846, A108067, A072991.

A119898 1-digit numbers arranged in alphabetical order of English spelling reversed, then the 2-digit numbers so arranged, then the 3-digit numbers, etc.

Original entry on oeis.org

3, 9, 1, 5, 7, 0, 2, 4, 8, 6, 93, 53, 83, 73, 23, 33, 43, 63, 99, 59, 89, 79, 29, 39, 49, 69, 91, 51, 81, 71, 21, 31, 41, 61, 95, 55, 85, 75, 25, 35, 45, 65, 12, 19, 15, 18, 17, 13, 14, 16, 10, 11, 97, 57, 87, 77, 27, 37, 47, 67, 92, 52, 82, 72, 22, 32, 42, 62, 94, 54, 84, 74, 24

Offset: 1

Jonathan Vos Post, Aug 01 2006

Analog of A000052 where the alphabetical order is applied not to English name of integer but to the English name whose letters are then reversed.

			Eerht, Enin, Eno, Evif, Neves, Orez, Owt, Ruof, Thgie, Xis;
Eerhtytenin, Eerhtytfif, Eerhtythgie, Eerhtytneves, Eerhtytnewt, Eerhtytriht, Eerhtytrof, Eerhtytxis, Eninytenin, Eninytfif, Eninythgie, Eninytneves, Eninytnewt, Eninytriht, Eninytrof, Eninytxis, Enoytenin, Enoytfif, Enoythgie, Enoytneves, Enoytnewt, Enoytriht, Enoytrof, Enoytxis, Evifytenin, Evifytfif, ...

Cf. A000052, A004740, A019440, A026081, A001058, A057846, A108067, A072991.

f[a_, b_] := Sort@ Table[{ StringReverse[ StringReplace[ IntegerName[h, "Words"], {"\[Hyphen]" -> ""}]], h}, {h, a, b}]; Last /@ Join[f[0, 9], f[10, 99]] (* Giovanni Resta, Jun 13 2016 *)

Data and example corrected by Giovanni Resta, Jun 13 2016

A290483 Integers in alphabetical order in Spanish, using the long scale.

Original entry on oeis.org

14, 14000000000000, 14000000000014, 14000000014000, 14000000014014, 14000000014100, 14000000014114, 14000000014105, 14000000014150, 14000000014155, 14000000014154, 14000000014152, 14000000014159, 14000000014158, 14000000014156, 14000000014157, 14000000014153, 14000000014151, 14000000014140, 14000000014145

Offset: 1

Jose M. Arenas, Aug 03 2017

This sequence uses the long scale of numbers, so 10^9 is Thousand Millions (Mil Millones) and not One Billion (Un Billón).

			14 = "catorce".
14000000000000 = "catorce billones".
14000000000014 = "catorce billones catorce".
14000000014000 = "catorce billones catorce mil".
14000000014014 = "catorce billones catorce mil catorce".
14000000014100 = "catorce billones catorce mil cien".
14000000014114 = "catorce billones catorce mil ciento catorce".
14000000014105 = "catorce billones catorce mil ciento cinco".
14000000014150 = "catorce billones catorce mil ciento cincuenta".
14000000014155 = "catorce billones catorce mil ciento cincuenta y cinco".
14000000014154 = "catorce billones catorce mil ciento cincuenta y cuatro".
14000000014152 = "catorce billones catorce mil ciento cincuenta y dos".
14000000014159 = "catorce billones catorce mil ciento cincuenta y nueve".
14000000014158 = "catorce billones catorce mil ciento cincuenta y ocho".
14000000014156 = "catorce billones catorce mil ciento cincuenta y seis".
14000000014157 = "catorce billones catorce mil ciento cincuenta y siete".
14000000014153 = "catorce billones catorce mil ciento cincuenta y tres".
14000000014151 = "catorce billones catorce mil ciento cincuenta y uno".
14000000014140 = "catorce billones catorce mil ciento cuarenta".
14000000014145 = "catorce billones catorce mil ciento cuarenta y cinco".

Jose M. Arenas, Table of n, a(n) for n = 1..10000

Cf. A004740, A019440, A097960, A108067, A126686, A161390.

cp's OEIS Frontend

A004740 Integers in alphabetical order in U.S. English.

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A152611 Assign weights to the nonnegative integers as in A073327, then sort them by weight.

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A119796 Zero through ten in alphabetical order of English reverse spelling.

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A119898 1-digit numbers arranged in alphabetical order of English spelling reversed, then the 2-digit numbers so arranged, then the 3-digit numbers, etc.

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A290483 Integers in alphabetical order in Spanish, using the long scale.

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Keywords

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