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.
Which values occur exactly three times?
Distance walked 2D
Find the largest value in the 3D matrix
Stuff the Board
The Dark Side of the Die
Is my wife right?
So many choices
Increment a number, given its digits
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