Rabbit Hole: Minimum L-seams

Automated excerpt

And this is where we start building a sequence a(n):{0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, ... }Below is the exploration for n values from 1 to 17. Is it worthy of being an OEIS sequence, or is it too niche? (I called a fellow puzzler and colleague for this one in my uncertainty) Data:a(1) = 0 - it's just a square.

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