[seqfan] interesting idea, weird ramifications, as yet unsolved
wouter.meeussen at telenet.be
Sun Jun 7 20:16:16 CEST 2020
“Pairwise combinations of distinct elements”
my feeling is that Algebraic Combinatorics should clarify this, reducing it to a well known pattern.
I tried but failed dismally.
It boils down to a list of monomials X_(k+1) generated by
(X_k ** X_k - X_k . X_k )/2 where “**” represents the outer product.
The author (‘Cesare’) only asks for a very limited property of these multinomials, but there is a lot of other ‘enumerative combinatorics’ going on here.
Does anyone recognise the patten?
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