A121064 Number of length-n American English expressions for nonnegative integers (spaces, hyphens, and commas excluded).

0, 0, 0, 4, 4, 6, 6, 3, 13, 22, 35, 32, 36, 89, 158, 342, 586, 913, 1490, 2365, 3884, 5940, 8629, 12386, 17637, 26311

Offset: 0

Author

Ray G. Opao, Aug 10 2006

Keywords

• more
• nonn
• word
• fini

Comments

These are Mathematica integer names (using qualifier "Words") < 10^306.

Examples

			a(3) = 4 since there are only 4 numbers in English with 3 letters: one, two, six, ten.
a(4) = 4 since there are only 4 numbers in English with 4 letters: zero, four, five, nine.
a(10) = 35 (24, 25, 29, 34, 35, 39, 43, 47, 48, 53, 57, 58, 63, 67, 68, 71, 72, 76, 84, 85, 89, 94, 95, 99, 100, 200, 600, 1000000, 2000000, 6000000, 10000000, 1000000000, 2000000000, 6000000000, 10000000000)
a(11) = 32:  [2389][378],7[459], [459]00, [126]000, 10000, [459]000000, [459]000000000, [126]000000000000, 10 trillion.
		

References

• GCHQ, The GCHQ Puzzle Book, Penguin, 2016. See page 123, Problem 6.

Links

• Hans Havermann, A dictionary of American English integer names (by letter count, to 13 letters).
• Hans Havermann, 14- to 40-letter integer names.

Crossrefs

Cf. A052193, A362449.

Formula

a(n) = # {m | A005589(m)=n }. - M. F. Hasler, Sep 07 2012

Extensions

Corrected and extended by Hans Havermann, Sep 08 2012

Recorrected (using a larger number limit) by Hans Havermann, Apr 23 2023