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A168137 a(n) = the smallest number whose American English name contains n distinct letters of the alphabet. 3<=n<=23 1
1, 0, 8, 13, 14, 25, 24, 74, 112, 127, 125, 165, 265, 1265, 2568, 12468, 1002568, 1001002568, 1000001001002568, 1000000001000001001002568, 1001000000001000001001002568 (list; graph; refs; listen; history; text; internal format)
OFFSET

3,3

COMMENTS

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.

Note that in American English, it is improper to use the word "and" in the name of a number.

. Wrong: "one hundred and one"

. Right: "one hundred one"

Table of names for a(n)

...n...name..................................letters used

.--------------------------------------------------------

...3...one...................................one

...4...zero..................................zero

...5...eight.................................eight

...6...thirteen..............................thiren

...7...fourteen..............................fourten

...8...twenty five...........................twenyfiv

...9...twenty four...........................twenyfour

..10...seventy four..........................sevntyfour

..11...one hundred twelve....................onehudrtwlv

..12...one hundred twenty seven..............onehudrtwysv

..13...one hundred twenty five...............onehudrtwyfiv

..14...one hundred sixty five................onehudrsixtyfv

..15...two hundred sixty five................twohundresixyfv

..16...one thousand two hundred

.........sixty five..........................onethusadwrixyfv

..17...two thousand five hundred

.........sixty eight.........................twohusandfiverxyg

..18...twelve thousand four hundred

.........sixty eight.........................twelvhousandfrixyg

..19...one million two thousand

.........five hundred sixty eight............onemiltwhusadfvrxyg

..20...one billion one million two

.........thousand five hundred sixty

.........eight...............................onebilmtwhusadfvrxyg

..21...one quadrillion one billion

.........one million two thousand

.........five hundred sixty eight............onequadrilbmtwhsfvxyg

..22...one septillion one quadrillion

.........one billion one million two

.........thousand five hundred sixty

.........eight...............................onesptilquadrbmwhfvxyg

..23...one octillion one septillion

.......one quadrillion one billion

.......one million two thousand five

.......hundred sixty eight...................onectilspquadrbmwhfvxyg

LINKS

Table of n, a(n) for n=3..23.

Landon Curt Noll,The English Name of a Number

Landon Curt Noll,first 10000 powers of ten in the American system

EXAMPLE

a(5) = 8, because "eight" contains five distinct letters of the alphabet.

CROSSREFS

Cf. A050933, A134629

Sequence in context: A063684 A059194 A253775 * A252458 A271720 A243436

Adjacent sequences:  A168134 A168135 A168136 * A168138 A168139 A168140

KEYWORD

fini,full,nonn,word

AUTHOR

Andrew Weimholt, Nov 19 2009

STATUS

approved

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Last modified August 17 13:03 EDT 2017. Contains 290635 sequences.