Problem 1: The perpetrator of solution 1 let me know that s/he made a small mistake, in going from 3n+3 to 3(n+3) -- whoops! If I'd seen that, I'd probably have only scolded, but I just didn't see it!
Problem 2:
Problem 3:
Problem 4:
The previous paper got the first few values right; the following actually
arrives at the formula, but by an interesting and mysterious method:
Problem 5:
Problem 6:
Problem 7:
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