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..."

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

1,2

Comments

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.

French version of A005224.

Links

Table of n, a(n) for n=1..54.

Eric Angelini, 27 phrases autoreferentes.

Eric Angelini, 27 phrases autoreferentes [Cached copy, included with permission of the author]

Example

"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.

Prog

(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

Crossrefs

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

Sequence in context: A166749 A370406 A103067 * A120407 A033166 A049726

Adjacent sequences: A080516 A080517 A080518 * A080520 A080521 A080522

Keyword

nonn,word

Author

N. J. A. Sloane, Mar 21 2003

Status

approved