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A167509 Least positive integer written with n different letters when spelled out in French. 3
1, 6, 2, 3, 4, 17, 14, 22, 24, 53, 74, 92, 97 (list; graph; refs; listen; history; text; internal format)
OFFSET
2,2
COMMENTS
There is no number which can be written in French using only one letter, therefore the sequence starts at offset n=2, cf. examples.
A variant of the definition would be the "least nonnegative integer ....", in which case a(4)=0 ("zéro" with "accent aigu" on the "e"), all other terms remaining the same.
It appears that letters "j", "k" and "w" don't occur in any number, while "m" and "l" first occur in "mille" (=1000), and "b" first occurs in "billion".
If an "é" with accent (as it occurs in "décillion") is considered as different from "e" without accent, the sequence should have 26-3+1 terms.
LINKS
Wiktionnaire, Annexe:Nombres de 1 à 100 en français (as of Nov 18, 2009).
FORMULA
a(n) = min { k | A167508(k) = n }
EXAMPLE
The terms a(2),...a(14) correspond to the French words un, six, deux, trois, quatre, dix-sept, quatorze, vingt-deux, vingt-quatre, cinquante-trois, soixante-quatorze, quatre-vingt-douze, quatre-vingt-dix-sept.
Here, "vingt-quatre" is the first term which contains a letter occurring twice, and therefore has a length greater than n; we conjecture that this is the case for all subsequent terms.
PROG
(PARI) A167509(n) = { for( k=1, #A167508, A167508[k]==n & return(k)); error("Found no result for n="n) }
CROSSREFS
Sequence in context: A019662 A330531 A134105 * A011362 A090425 A160081
KEYWORD
fini,nonn,word
AUTHOR
M. F. Hasler, Nov 18 2009
STATUS
approved

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Last modified March 29 09:44 EDT 2024. Contains 371268 sequences. (Running on oeis4.)