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A080519 Positions of the letter t in the French phrase enumerating these positions, "T est la premiere, quatrieme, dix-huitieme, trentieme, trente-cinqieme,... lettre dans cette phrase..." 4

%I #13 Mar 17 2014 23:48:19

%S 1,4,18,30,35,39,44,48,59,63,79,84,96,101,113,129,131,146,162,169,173,

%T 182,189,201,203,213,214,226,231,243,244,248,251,261,268,280,287,300,

%U 307,320,327,329,341,345,352,364,368,375,391,393,407,408,424,425

%N Positions of the letter t in the French phrase enumerating these positions, "T est la premiere, quatrieme, dix-huitieme, trentieme, trente-cinqieme,... lettre dans cette phrase..."

%C The phrase ends "... où les espaces, les virgules et les traits d'union ne comptent pas." This means that spaces, commas and hyphens are not counted.

%C French version of A005224.

%H Eric Angelini, <a href="http://www.cetteadressecomportecinquantesignes.com/Unieme.htm">27 phrases autoreferentes</a>.

%H Eric Angelini, <a href="/A080519/a080519.pdf">27 phrases autoreferentes</a> [Cached copy, included with permission of the author]

%e "T est la première, quatrième, dix-huitième, trentième, ... lettre de cette phrase..." has a 't' in 1st, 4th, 18th, 30th... position.

%e But the dots represent an infinite list of words: In contrast to the versions starting with another letter (except for 'e', 'i' and 'm' which share this property), the phrase cannot be finite, because each term adds at least 2 't's on the average. This will remain true even after reaching "mille" (thousand), "un million", "un milliard"... because these t-less words occur almost always accompanied by coefficients between 1 and 1000.

%o (PARI) {c=0; apply(x -> x>"@" & c++ & x=="t" & print1(c","), Vec("t est la premiere, quatrieme, dix-huitieme, trentieme, trente-cinquieme, trente-neuvieme, quarante-quatrieme, quarante-huitieme, cinquante-neuvieme, soixante-troisieme, soixante-dix-neuvieme, quatre-vingt-quatrieme, quatre-vingt-seizieme, cent et unieme, cent treizieme, cent vingt-neuvieme cent trente et unieme, cent quarante-sixieme, cent soixante-deuxieme, cent soixante-neuvieme, cent soixante-treizieme, cent quatre-vingt-deuxieme, cent quatre-vingt-neuvieme, deux cent et unieme, deux cent troisieme, deux cent treizieme,..."));} \\ - M. F. Hasler, Sep 30 2011

%Y Cf. Aronson's sequence A005224, A080517-A080520.

%K nonn,word

%O 1,2

%A _N. J. A. Sloane_, Mar 21 2003

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Last modified March 28 20:05 EDT 2024. Contains 371254 sequences. (Running on oeis4.)