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 A167507 Number of letters in the French spelling of the number n, not counting hyphens and spaces. 21
 4, 2, 4, 5, 6, 4, 3, 4, 4, 4, 3, 4, 5, 6, 8, 6, 5, 7, 7, 7, 5, 9, 9, 10, 11, 9, 8, 9, 9, 9, 6, 10, 10, 11, 12, 10, 9, 9, 10, 10, 8, 12, 12, 13, 14, 12, 11, 12, 12, 12, 9, 13, 13, 14, 15, 13, 12, 13, 13, 13, 8, 12, 12, 13, 14, 12, 11, 12, 12, 12, 11, 12, 13, 14, 16, 14, 13, 15, 15, 15, 12, 13 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Sequence A007005 is a variant of this sequence, where spaces and hyphens are counted. In most languages, there exists a number N after which all numbers are written with fewer letters than the number itself. In English, in German and in French, N = 4. Here, if n > 4, then a(n) < n, and if n <= 4, then a(n) > n. - Bernard Schott, Jan 11 2019 LINKS Wiktionnaire, Annexe:Nombres de 1 à 100 en français (as of Nov. 18, 2009). EXAMPLE The terms a(0),...,a(16) represent the number of characters in the strings "zéro", "un", "deux", "trois", "quatre", "cinq", "six", "sept", "huit", "neuf", "dix", "onze", "douze", "treize", "quatorze", "quinze", "seize". Since spaces and punctuation are not counted, a(n) is less than the length of the character string whenever the spelling of n contains hyphens, as in "dix-sept" (a(17)=7), or spaces as in "vingt et un" (a(21)=9). PROG (PARI) apply( {A167507(n)=#[0|c<-Vecsmall(French(n)), c>96]}, [0..81]) \\ updated by M. F. Hasler, Feb 19 2020 /* Helper function: spell out n in French. Extended to 10^24 (now further extensible via the 2nd optional argument) for A204593 on Feb 16 2012. */ French(n, t=[10^18, "trillion", /*10^15, "billiard", */ 10^12, "billion", 10^9, "milliard", 10^6, "million"])={ if( n>999, n>=10^6*t & error(n" is too large - this implementation is restricted to n < 10^", 5+#Str(t)); forstep(i=1, #t, 2, n\t[i] & return(Str(French(n\t[i])" "t[i+1], if(n\t[i]>1, "s", ""), if(n%t[i], Str(" "French(n%t[i])), "")))); return(Str(if(n\1000>1, Str(French(n\1000), " "), ""), "mille", if(n%1000, Str(" ", French(n%1000)), "")))); n<20 & return([ "zero", "un", "deux", "trois", "quatre", "cinq", "six", "sept", "huit", "neuf", "dix", "onze", "douze", "treize", "quatorze", "quinze", "seize", "dix-sept", "dix-huit", "dix-neuf"][n+1]); n >= 100 & return( Str( if( n>199, Str(French(n\100), " "), ""), "cent", if(n%100, Str(" ", French(n%100)), if(n>199, "s", "")/*deux cents*/))); n > 80 & return( Str( "quatre-vingt-", French( n-80 ))); n%10==0 & return( Str( ["vingt", "trente", "quarante", "cinquante", "soixante", "soixante-dix", "quatre-vingts"][n\10-1] )); Str( French((n\10-(n>70))*10), if(n%10==1, " et ", "-"), French(n%10+10*(n>70)))} \\ M. F. Hasler, Nov 19 2009 CROSSREFS Cf. A005589 (English analog), A167508 (counts distinct letters). Cf. A001050 (Finnish analog), A006994 (Russian analog), A007208 (German analog), A011762 (Spanish analog), A026858 (Italian analog). Sequence in context: A224183 A131953 A167508 * A007005 A237869 A066978 Adjacent sequences:  A167504 A167505 A167506 * A167508 A167509 A167510 KEYWORD nonn,word AUTHOR M. F. Hasler, Nov 18 2009 EXTENSIONS Keyword "fini" removed by M. F. Hasler, Nov 19 2009 a(80) and a(81) corrected by Bernard Schott, Feb 19 2020 STATUS approved

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Last modified April 19 22:40 EDT 2021. Contains 343117 sequences. (Running on oeis4.)