A080519 Positions of the letter t in the French phrase enumerating these positions, "T est la première, quatrième, dix-huitième, trentième, trente-cinquième,... lettre dans cette phrase...".
1, 4, 18, 30, 35, 39, 44, 48, 59, 63, 79, 84, 96, 101, 113, 129, 131, 146, 162, 169, 173, 182, 189, 201, 203, 213, 214, 226, 231, 243, 244, 248, 251, 261, 268, 280, 287, 300, 307, 320, 327, 329, 341, 345, 352, 364, 368, 375, 391, 393, 407, 408, 424, 425
Offset: 1
Examples
"T est la première, quatrième, dix-huitième, trentième, ... lettre de cette phrase..." has a 't' in 1st, 4th, 18th, 30th, ... position. 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.
Links
- Eric Angelini, 27 phrases autoréférentes.
- Eric Angelini, 27 phrases autoréférentes [Cached copy, included with permission of the author]
Programs
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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
Comments