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Timeline for Solving recurrent relation

Current License: CC BY-SA 3.0

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Dec 29, 2016 at 15:17 history edited Pietro Majer CC BY-SA 3.0
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Dec 28, 2016 at 14:20 history edited Pietro Majer CC BY-SA 3.0
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Dec 28, 2016 at 8:58 comment added Pietro Majer According to Lévi-Strauss, bricolage is the characteristic trait of the primitive/wild thinking --producing something that is suggested by what is available on the ground, combining it conveniently, as opposed to the modern scientific thinking, that creates its own instruments and methods :D
Dec 28, 2016 at 1:36 comment added Todd Trimble @GerryMyerson I'm guessing 'bricolage' here is a free way of saying "fiddling around" -- doing this or that to massage it into the desired form.
Dec 27, 2016 at 21:24 comment added Pietro Majer @Eugene Maybe it is convenient to study the analogous sequence of polynomials $$\sum_{n\ge0}R_n(z){x^n\over n!}=\exp\Big( \sum_{n=1}^\infty {z^{n\choose2}x^{n}\over n!}\Big)$$ and express $P_n$ in terms of $R_n$, that should be simpler.
Dec 27, 2016 at 19:45 comment added Eugene @Pietro Majer thanks a lot this is definitely a huge progress in what I was thinking about this recurrent relation. It appears directly, so I mentioned as much as I knew. Also I have the following question, b/c I am very familiar with generating functions: I observed that for larges $p$ (let's say from 0.6 to 1) polynomial are close to $p^{\binom{n}{2}}$. Is there a way to prove this using generating functions?
Dec 27, 2016 at 19:29 history edited Pietro Majer CC BY-SA 3.0
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Dec 27, 2016 at 15:41 comment added Gerry Myerson bricolage?${}{}$
Dec 27, 2016 at 14:09 history edited Pietro Majer CC BY-SA 3.0
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Dec 27, 2016 at 13:48 comment added მამუკა ჯიბლაძე There is a question here on MO about your last series
Dec 27, 2016 at 13:34 history edited Pietro Majer CC BY-SA 3.0
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Dec 27, 2016 at 13:22 history answered Pietro Majer CC BY-SA 3.0