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Aug 23, 2016 at 11:53 comment added Martin Rubey For the associated cyclic sieving phenomenon see math.umn.edu/~reiner/REU/CloningerDavidowitz2007.pdf
Aug 23, 2016 at 11:42 comment added Martin Rubey @NoamD.Elkies: I'm a bit puzzled, I get something very different for $n=7$: a polynomial of degree 112 with leading coefficients $1,0,1,1,2,3,5,\dots$. For $n=4$ I have precisely what Per Alexandersson has.
Aug 22, 2016 at 15:12 answer added Jessica Striker timeline score: 10
Aug 22, 2016 at 11:45 comment added Christian Stump My computation for n=4 agrees with the one by @PerAlexandersson.
Aug 22, 2016 at 2:54 comment added Per Alexandersson Can someone please provide the q-expressions for n=1..4?
Aug 22, 2016 at 2:53 answer added Per Alexandersson timeline score: 2
Aug 22, 2016 at 2:49 comment added Per Alexandersson I do not get unimodality: n=4 gives for example [1, 0, 1, 1, 2, 2, 3, 2, 4, 3, 4, 3, 4, 2, 3, 2, 2, 1, 1, 0, 1]
Aug 22, 2016 at 2:45 history edited Gjergji Zaimi CC BY-SA 3.0
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Aug 22, 2016 at 1:43 answer added Kevin Dilks timeline score: 4
Aug 22, 2016 at 1:19 comment added Noam D. Elkies If I computed right then at least for $n \leq 20$ it's a polynomial in $n$ with coefficients that are not just positive but unimodal. For example, $n=7$ gives $[1, 6, 20, 49, 98, 169, 259, 359, 455, 531, 573, 573, 531, 455, 359, 259, 169, 98, 49, 20, 6, 1]$.
Aug 22, 2016 at 0:47 history asked Gjergji Zaimi CC BY-SA 3.0