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