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Nov 11 at 7:26 history edited Corentin B CC BY-SA 4.0
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Nov 11 at 7:25 comment added Corentin B Just isomorphic to its dual as an abstract polytope, hypercube and hyperoctahedron coincide in dimension $d=1,2$.
Nov 11 at 5:07 comment added Antoine Labelle What does self-dual mean here?
Nov 9 at 22:16 comment added Corentin B In this case, it is algebraic for $d=1$, and D-finite (but not algebraic) for all $d\ge 2$.
Nov 9 at 22:11 comment added Sam Hopkins Sort of similar to this is the fact that the sequence $a^d_n = \sum_{k=0}^{n}\binom{n}{k}^d$ (sum of $d$th powers of $n$th row of Pascal's triangle) has a nice formula in the case of $d=1,2$ ($a^1_n = 2^n$, $a^2_n = \binom{2n}{n}$), but for $d \geq 3$ has no nice formula (e.g. I believe the corresponding generating function is not algebraic).
S Nov 9 at 22:08 history answered Corentin B CC BY-SA 4.0
S Nov 9 at 22:08 history made wiki Post Made Community Wiki by Corentin B