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1
vote
Enumerating 0-1 finite boxes without null rays.
To extrapolate on Brendan McKay's comment for question one, here is a recurrence for $M(m,n)$. Though not exactly an inclusion exclusion argument (it's not hard to turn it into one), this essentially …
8
votes
Accepted
Is this similar to a known combinatorial identity?
Here is a solution to your warm up problem. It uses a few known elementary identities, and some short inductions for identities I didn't recognize. I also changed your notation slightly from $l$ to $k …