OK. I'll bite. Where did this formula come from?
Just from calculating a number of values and figuring out the pattern.
That's quite the pattern to figure out...
Test for balanced parentheses
Project Euler: Problem 7, Nth prime
Make one big string out of two smaller strings
Test if two numbers have the same digits
Find the mean of a 2-D matrix after excluding elements of specified sub-matrix
Get a new matrix by mapping each element of an arbitrary-sized input matrix using lookup table
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