Formula
If s is the number of sides in a polygon, the formula for the nth s-gonal number P(s,n) is
The nth s-gonal number is also related to the triangular numbers Tn as follows:
Thus:
For a given s-gonal number P(s,n) = x, one can find n by
Read more about this topic: Polygonal Number
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—Pierre Simon De Laplace (1749–1827)
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