A001166 Smallest natural number requiring n letters in English. (Formerly M3215 N1301)

1, 4, 3, 11, 15, 13, 17, 24, 23, 73, 3000, 11000, 15000, 101, 104, 103, 111, 115, 113, 117, 124, 123, 173, 323, 373, 1104, 1103, 1111, 1115, 1113, 1117, 1124, 1123, 1173, 1323, 1373, 3323, 3373, 11373, 13323, 13373, 17373, 23323, 23373, 73373, 101123, 101173, 101323, 101373, 103323, 103373, 111373, 113323, 113373, 117373

Offset

3,2

Comments

In this version 101 is written "one hundred and one", etc.

References

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Table of n, a(n) for n=3..57.

Sean A. Irvine, Illustration of terms a(3) through a(75)

Example

For n = 6, the smallest natural number requiring 6 letters in English is "eleven." - Julia Carrigan, Jan 19 2024

Crossrefs

Cf. A000916, A014388, A045494, A045495, A080777.

Sequence in context: A295727 A200073 A080777 * A065337 A257078 A072802

Adjacent sequences: A001163 A001164 A001165 * A001167 A001168 A001169

Keyword

word,nonn

Author

N. J. A. Sloane

Extensions

Corrected and extended by Henry Bottomley, Jan 28 2000

Further corrected and extended by Brian Galebach, Feb 06 2004

Further corrected and illustration of terms by Sean A. Irvine, Mar 12 2012

Status

approved