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About: Cannonball problem     Goto   Sponge   NotDistinct   Permalink

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In the mathematics of figurate numbers, the cannonball problem asks which numbers are both square and square pyramidal. The problem can be stated as: given a square arrangement of cannonballs, for what size squares can these cannonballs also be arranged into a square pyramid.Equivalently, which squares can be represented as the sum of consecutive squares, starting from 1.