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.
Roll the Dice!
Clock Hand Angle 1
Get the length of a given vector
High school cafeteria
Flip the bit
Increment a number, given its digits
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