

A132363


Least natural number in English which requires exactly n characters to spell including spaces and hyphens, or 0 if no such number. The inverse of A052360.


0



1, 0, 3, 11, 15, 13, 17, 21, 24, 23, 73, 3000, 101, 104, 103, 111, 115, 113, 117, 121, 124, 123, 173, 323, 373, 1101, 1104, 1103, 1111, 1115, 1113, 1117, 1121, 1124, 1123, 1173, 1323, 1373, 3323, 3373, 11373, 13323, 13373, 17373, 21373, 23323, 23373, 73373
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OFFSET

3,3


COMMENTS

This is to A052360 as A134629 is to A005589. Also assumes no 'and' is used to spell integers. This deviates from A134629 at a(10). "twentyone" is the smallest integer whose standard English name has a hyphen. "one hundred" is the smallest integer whose standard English name has a space. "one hundred twentyone" is the smallest integer whose standard English name has a space and a hyphen.


LINKS

Table of n, a(n) for n=3..50.
Eric Weisstein's World of Mathematics, Number


EXAMPLE

a(3) = 1 because "one" has 3 characters.
a(4) = 0 because "zero" has 4 characters.
a(5) = 3 because "three" has 5 characters.
a(6) = 11 because "eleven" has 6 characters.
a(7) = 15 because "fifteen" has 7 characters.
a(8) = 13 because "thirteen" has 8 characters.
a(9) = 17 because "seventeen" has 9 characters.
a(10) = 21 because "twentyone" has 10 characters.
a(11) = 24 because "twentyfour" has 11 characters.
a(12) = 23 because "twentythree" has 12 characters.
a(13) = 73 because "seventythree" has 13 characters.
a(14) = 3000 because "three thousand" has 14 characters.


CROSSREFS

Cf. A005589, A052360, A119960, A129774, A134629.
Sequence in context: A022123 A273869 A235913 * A134629 A245522 A030715
Adjacent sequences: A132360 A132361 A132362 * A132364 A132365 A132366


KEYWORD

easy,nonn,word


AUTHOR

Jonathan Vos Post, Nov 08 2007


EXTENSIONS

Corrected and extended by Martin Fuller, Nov 24 2007


STATUS

approved



