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.
Size of this cup?
Clock Hand Angle 1
Reindex a vector
Reverse the elements of an array
Is this triangle right-angled?
Sum my indices
So many choices
Factorize THIS, buddy
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