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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 (list; graph; refs; listen; history; text; internal format)
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). "twenty-one" 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 twenty-one" 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 "twenty-one" has 10 characters.

a(11) = 24 because "twenty-four" has 11 characters.

a(12) = 23 because "twenty-three" has 12 characters.

a(13) = 73 because "seventy-three" has 13 characters.

a(14) = 3000 because "three thousand" has 14 characters.

CROSSREFS

Cf. A005589, A052360, A119960, A129774, A134629.

Sequence in context: A186701 A022123 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

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Last modified August 29 10:37 EDT 2015. Contains 261188 sequences.