Check whether the input matrix is a figurate number triangle: http://mathworld.wolfram.com/FigurateNumberTriangle.html
you should probably add a test case where the correct answer is false.
I added a few more tests as suggested.
Find the sum of all the numbers of the input vector
Sum of diagonal of a square matrix
sum of non-primes
Volume of a sphere given its surface area
All your base are belong to us
Right and wrong
Factorize THIS, buddy
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