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.
Indexed Probability Table
Back to basics 18 - justification
Sum my indices
Is my wife right?
Tune your guitar
Is my wife right? Now with even more wrong husband
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