A196278 -id:A196278 - cp's OEIS frontend

A006944 Number of letters in the n-th ordinal number (in American English).

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

Offset: 1

N. J. A. Sloane

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

			"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").

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).

Jon E. Schoenfield, Table of n, a(n) for n = 1..1000
Associated Press, Stylebook
U.S. Government Printing Office, Style Manual 2008
Wikipedia, 101
Wikipedia, English numerals
Wikipedia, Ordinal numbers
Index entries for sequences related to number of letters in n

Cf. A005589.

Cf. A196278 (analog for French), A006969 (variant for French counting spaces and hyphens).

from num2words import num2words
def a(n): return sum(1 for c in num2words(n, to='ordinal').replace(" and", "") if c.isalpha())
print([a(n) for n in range(1, 77)]) # Michael S. Branicky, Aug 08 2021 edited Jul 12 2022

More terms from Jon E. Schoenfield, Aug 13 2007

A006969 Number of characters in French ordinal numbers.

Original entry on oeis.org

7, 8, 9, 9, 9, 7, 8, 8, 8, 7, 7, 8, 9, 11, 9, 8, 12, 12, 12, 9, 15, 14, 15, 15, 15, 13, 14, 14, 14, 9, 16, 15, 16, 16, 16, 14, 15, 15, 15, 11, 18, 17, 18, 18, 18, 16, 17, 17, 17, 12, 19, 18

Offset: 1

N. J. A. Sloane, Simon Plouffe

Nombres de caractères (lettres, espaces et tirets) des nombres ordinaux en français.
In contrast to A196278, hyphens and spaces are counted here. First differs at n = 17 (dix-septième). - Georg Fischer, Aug 07 2021
In French the final -s in "quatre-vingts", "deux cents", ... disappears when the ordinal suffix "-ième" is appended. (This is currently incorrectly handled in the Python module num2words.) Also, the trailing "-e" of numbers ending in "quatre", "onze" - "seize", "trente" - "soixante" disappears. Therefore, in all these cases the name of the ordinal has only 3 letters more than the name of the cardinal, viz. a(n) = A007005(n)+3. For numbers ending in "cinq", there appears an additional "u", whence a(n) = A007005(n)+5 in this case.  - M. F. Hasler, Aug 08 2021

			a(21) = # "vingt-et-unième" = 15, where # means length of the string.
a(50) = # "cinquantième" = 12.
a(80) = # "quatre-vingtième": the '-s' disappears from "quatre-vingts".
a(200) = # "deux-centième": the '-s' disappears from "deux cents".

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

Index entries for sequences related to number of letters in n

Cf. A006944 (in American English), A196278 (similar, but not counting spaces and hyphens).

Cf. A007005, A167507 (number of letters/characters in French name of n).

apply( {A006969(n, t=French(n))=#t+if(n==1||"nq"==t=Strchr(Vecsmall(t)[-2..-1]), 5, "ts"==t || Vec(t)[2]=="e", 3, 4)}, [1..55]) \\ See A007005 for French(). - M. F. Hasler, Aug 08 2021

a(n) = A007005(n) + e, where e = 4 except for n = 1 and when the French name of n ends in "cinq" (then e = 5), or when it ends in "-e" or "-ts" (then e = 3). - M. F. Hasler, Aug 08 2021

Edited by M. F. Hasler, Aug 08 2021

cp's OEIS Frontend

A006944 Number of letters in the n-th ordinal number (in American English).

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