[seqfan] Selfrefering sentencies embedding selrefering sentences, etc.

Eric Angelini Eric.Angelini at kntv.be
Fri May 18 21:06:27 CEST 2012


Hello SeqFans,
a friend of mine, Jean-Luc Piedanna, has discovered
an amazing "word" sequence for the French language.
Here is the link (in French) -- and below, a short
explanation (I hope to be clear):
http://www.cetteadressecomportecinquantesignes.com/Piedanna.htm

Jean-Luc starts with a selfrefering sentence like this:

"This sentence has thirty-one letters"

He embeds now this sentence in another selfrefering one:

"This sentence, together with "This sentence has thirty-one 
 letters", has seventy-seven letters"

And again:

"This sentence, together with "This sentence, together 
 with "This sentence has thirty-one letters", has seventy-seven
 letters" has ... [X] ... letters".
Etc.

The interesting part is that Jean-Luc has found _the longest
such sequence in French_ (no matter if you start with the
31-letter long sentence like here, or with the 33-letter one
"This sentence has thirty-three letters", or whatever -- and
no matter of the words you select to write the "envelope" --
here "This sentence, together with... has... letters").
Jean-Luc's sequence has 79 terms -- could someone compute
the same "word" sequence for English?

Best,
É.







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