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Aug 9, 2021 at 16:07 history edited Aaron Meyerowitz CC BY-SA 4.0
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Aug 7, 2021 at 11:28 comment added Peter Taylor I'd just like to add thanks for the reference: it was chasing through its references that I found the ones mentioned in my answer.
Aug 7, 2021 at 11:03 comment added Peter Taylor Although, on looking more carefully, the generalisation to higher orders is different to the one given in the question.
Aug 7, 2021 at 10:31 comment added Peter Taylor The counts in the question correspond to permuting the variables, parenthesising them, and then using the "corresponding polynomial in dimension $n$" for each parenthetic group of size $n$.
Aug 7, 2021 at 9:51 history edited Aaron Meyerowitz CC BY-SA 4.0
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Aug 7, 2021 at 7:55 history answered Aaron Meyerowitz CC BY-SA 4.0