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A006944
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Number of letters in the n-th ordinal number (in American English).
(Formerly M3744)
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7
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5, 6, 5, 6, 5, 5, 7, 6, 5, 5, 8, 7, 10, 10, 9, 9, 11, 10, 10, 9, 11, 12, 11, 12, 11, 11, 13, 12, 11, 9, 11, 12, 11, 12, 11, 11, 13, 12, 11, 8, 10, 11, 10, 11, 10, 10, 12, 11, 10, 8, 10, 11, 10, 11, 10, 10, 12, 11, 10, 8, 10, 11, 10, 11, 10, 10, 12, 11, 10, 10, 12, 13, 12, 13, 12, 12
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,1
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COMMENTS
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a(0) is ambiguous (see Wikipedia: English numerals link). It is either 6 or 7 depending on whether the word used is 'zeroth' or 'noughth'. - Jon Perry, Nov 01 2014
The ordinal numbers 101st, 102nd, etc., are commonly spoken as "one hundred and first," "one hundred and second," etc., with the word "and" following the word "hundred." The more concise wordings "one hundred first," "one hundred second," etc. (without the word "and") are recommended by numerous authoritative reference works on American English, including the AP Style Guide and the U.S. Government Printing Office Style Manual. The American convention of omitting the "and" is followed in the b-file. - Jon E. Schoenfield, Nov 04 2014
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REFERENCES
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Netnews group rec.puzzles, Frequently Asked Questions (FAQ) file (Science Section).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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EXAMPLE
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"First" has 5 letters, so a(1)=5.
Hyphens and spaces are not counted, so, e.g., a(21)=11 ("twenty-first") and a(100)=12 ("one hundredth").
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PROG
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(Python)
from num2words import num2words
def a(n): return sum(1 for c in num2words(n, to='ordinal').replace(" and", "") if c.isalpha())
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CROSSREFS
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Cf. A196278 (analog for French), A006969 (variant for French counting spaces and hyphens).
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KEYWORD
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nonn,word,nice,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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