A000861 -id:A000861 - cp's OEIS frontend

A332069 Numbers whose American English name contains all 5 vowels in alphabetical order.

1084, 1134, 1154, 1164, 1184, 1194, 1234, 1254, 1264, 1284, 1294, 1334, 1354, 1364, 1384, 1394, 1434, 1454, 1464, 1484, 1494, 1534, 1554, 1564, 1584, 1594, 1634, 1654, 1664, 1684, 1694, 1734, 1754, 1764, 1784, 1794, 1804, 1814, 1824, 1834, 1844, 1854, 1864, 1874, 1884, 1894

Offset: 1

M. F. Hasler, Aug 10 2020

The name of the number may contain other vowels (A, E, I, O or U) in any place and order. "American English" means that no "and" is used, e.g., 101 = "one hundred one".
Therefore (and because 1000 = "thousAnd" is the least number using the letter "A"), for any term a(n) < 10^4, the number a(n) + x*10^4 is also in the sequence for any x > 0, and so is any number a(n)*10^(6k) + m, m < 10^(6k), k > 0. (The statement isn't true with x*10^3: for example 1084 + 999000 does not have the letter "A".)
In French, 92 ("quAtrE-vIngt dOUze") has the property, and as a consequence the corresponding sequence consists mainly of 92 + x*100 with any x >= 0, and 472 + x*1000 with any x >= 0 ("quAtrE cent soIxante-dOUze"); there is no other term below 4000, from where on others (4012, 4061, 4062, ...) come into play.
In German, the first number to have an 'o' is "Million". Since the 'I' must be preceded by 'A' and 'E', the corresponding sequence would start only after 18*10^6: 18000005, 18000009, 18000015, 18000019, 18000021, 18000022, ...

			1084 is "(one) thousAnd EIghty fOUr". This is the smallest number whose English name contains all 5 vowels A, E, I, O, U in this order, therefore a(1) = 1084.

Anugata Sarkar, in reply to: What are some mind-blowing facts about mathematics?, quora.com, April / Oct. 2019.

Cf. A052360.
Sequences related to vowels: A037196 (# vowels), A102869, A158352, A158354 (smallest number with n [distinct] vowels in AE / BE), A158353, A158355 (ditto, increasing), A058179 (all 5 vowels), A058180 (ditto, exactly once), A000852, A000861 (start/end with vowel), A019270, A080518 (self-describing), A059437, A079741, A152592, A174879, A241858.
Cf. A332068 (also based on the order of vowels in the English name of numbers).

vowels=Vec("aeiou"); (isSubseq(a,b)=forvec(v=vector(#a,i,[i,#b]),vecextract(b,v)==a&&return(1),2)); select( {is_A332069(n)=#Set(n=[c|c<-Vec(English(n)),setsearch(vowels,c)])>4&&isSubseq(vowels,n)}, [0..2000]) \\ See A052360 for English().

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.

cp's OEIS Frontend

A332069 Numbers whose American English name contains all 5 vowels in alphabetical order.

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