A006969 Number of characters in French ordinal numbers.

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

Author

N. J. A. Sloane, Simon Plouffe

Keywords

• nonn
• word

Comments

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

Examples

			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".
		

References

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

Links

• Index entries for sequences related to number of letters in n

Crossrefs

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).

Programs

PARI

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

Formula

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

Extensions

Edited by M. F. Hasler, Aug 08 2021