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

1, 0, 8, 13, 14, 25, 24, 74, 112, 127, 125, 165, 265, 1265, 2568, 12468, 1002568, 1001002568, 1000001001002568, 1000000001000001001002568, 1001000000001000001001002568

Offset: 3

Author

Andrew Weimholt, Nov 19 2009

Keywords

• fini
• full
• nonn
• word

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..................................distinct 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

Examples

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

Links

• Landon Curt Noll, The English Name of a Number
• Landon Curt Noll, first 10000 powers of ten in the American system

Crossrefs

Cf. A050933, A134629.