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8M + 3 = (2A+1)^2 + (2B+1)^2 + (2C+1)^2
M = trinum(A) + trinum(B) + trinum(C)
# Find a triangle-number decomposition by converting to
# a Diophantine squares problem.
By rote learning.
Via Genetic memory.
It's provided by my firmware.
I just remember them.
Thirty days hath September
My computer gets it right, usually.
I just ask someone else.
Someone punches me on the first of the month.
Results (198 votes),