A146755 Alliterative numbers: Positive integers n such that all words in n's name begin with the same letter; ignore numbers with one-word names.

22, 23, 32, 33, 44, 45, 54, 55, 66, 67, 76, 77, 88, 99, 2000, 2002, 2003, 2010, 2012, 2013, 2020, 2022, 2023, 2030, 2032, 2033, 3000, 3002, 3003, 3010, 3012, 3013, 3020, 3022, 3023, 3030, 3032, 3033, 10000, 10002, 10003, 10010, 10012, 10013, 10020

Offset

1,1

Comments

Use (American if different) English. Names of these numbers then exhibit alliteration (as in poetry or literature), hence the suggested name. Hyphens connecting words and any use of the word "and" is ignored. If, for example, the normal "American System" (short scale with no "milliard", "billiard", etc.) with the suggested extension by reusable prefixes as developed and described by L. C. Noll (see link) is then used, this sequence is both well-defined and infinite.

Links

Table of n, a(n) for n=1..45.

Landon Curt Noll, The English Name of a Number

Wikipedia, Names of Large Numbers

Example

22 is the first term because its English name, the compound word "twenty-two", is considered here to be two words and each word starts with the letter "t". 1555 is not a term because it is treated here as "one thousand five hundred fifty-five", not "fifteen fifty-five" as, for example, the year 1555 would be called.

Crossrefs

Cf. A051108.

Sequence in context: A091404 A260994 A114963 * A106556 A106554 A118297

Adjacent sequences: A146752 A146753 A146754 * A146756 A146757 A146758

Keyword

nonn,word

Author

Rick L. Shepherd, Nov 01 2008

Status

approved