cp's OEIS Frontend

A168137 a(n) is the smallest number whose American English name contains n distinct letters of the alphabet; 3 <= n <= 23.

%I A168137 #9 Jan 14 2021 20:04:21
%S A168137 1,0,8,13,14,25,24,74,112,127,125,165,265,1265,2568,12468,1002568,
%T A168137 1001002568,1000001001002568,1000000001000001001002568,
%U A168137 1001000000001000001001002568
%N A168137 a(n) is the smallest number whose American English name contains n distinct letters of the alphabet; 3 <= n <= 23.
%C A168137 The letters j and k are unused and the letter z only appears in "zero", thus the maximum number of distinct letters possible is 23.
%C A168137 Note that in American English, it is improper to use the word "and" in the name of a number.
%C A168137   Wrong: "one hundred and one"
%C A168137   Right: "one hundred one"
%C A168137 Table of names for a(n)
%C A168137 ...n...name..................................distinct letters used
%C A168137 .-----------------------------------------------------------------
%C A168137 ...3...one...................................one
%C A168137 ...4...zero..................................zero
%C A168137 ...5...eight.................................eight
%C A168137 ...6...thirteen..............................thiren
%C A168137 ...7...fourteen..............................fourten
%C A168137 ...8...twenty five...........................twenyfiv
%C A168137 ...9...twenty four...........................twenyfour
%C A168137 ..10...seventy four..........................sevntyfour
%C A168137 ..11...one hundred twelve....................onehudrtwlv
%C A168137 ..12...one hundred twenty seven..............onehudrtwysv
%C A168137 ..13...one hundred twenty five...............onehudrtwyfiv
%C A168137 ..14...one hundred sixty five................onehudrsixtyfv
%C A168137 ..15...two hundred sixty five................twohundresixyfv
%C A168137 ..16...one thousand two hundred
%C A168137 .........sixty five..........................onethusadwrixyfv
%C A168137 ..17...two thousand five hundred
%C A168137 .........sixty eight.........................twohusandfiverxyg
%C A168137 ..18...twelve thousand four hundred
%C A168137 .........sixty eight.........................twelvhousandfrixyg
%C A168137 ..19...one million two thousand
%C A168137 .........five hundred sixty eight............onemiltwhusadfvrxyg
%C A168137 ..20...one billion one million two
%C A168137 .........thousand five hundred sixty
%C A168137 .........eight...............................onebilmtwhusadfvrxyg
%C A168137 ..21...one quadrillion one billion
%C A168137 .........one million two thousand
%C A168137 .........five hundred sixty eight............onequadrilbmtwhsfvxyg
%C A168137 ..22...one septillion one quadrillion
%C A168137 .........one billion one million two
%C A168137 .........thousand five hundred sixty
%C A168137 .........eight...............................onesptilquadrbmwhfvxyg
%C A168137 ..23...one octillion one septillion
%C A168137 .........one quadrillion one billion
%C A168137 .........one million two thousand five
%C A168137 .........hundred sixty eight.................onectilspquadrbmwhfvxyg
%H A168137 Landon Curt Noll, <a href="http://isthe.com/chongo/tech/math/number/number.html">The English Name of a Number</a>
%H A168137 Landon Curt Noll, <a href="http://isthe.com/chongo/tech/math/number/tenpower.html">first 10000 powers of ten in the American system</a>
%e A168137 a(5) = 8, because "eight" contains five distinct letters of the alphabet.
%Y A168137 Cf. A050933, A134629.
%K A168137 fini,full,nonn,word
%O A168137 3,3
%A A168137 _Andrew Weimholt_, Nov 19 2009