SOLUTION: How many different one-to-one correspondences could be listed between the vertices of two regular octagons and the vertices of two regular n-gons?

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Question 484301: How many different one-to-one correspondences could be listed between the vertices of two regular octagons and the vertices of two regular n-gons?
Answer by Maria c(1) About Me  (Show Source):
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Number of different one-to-one correspondences that could be listed between the vertices of two regular triangles is given by Sigma (2*3 -- 1) = Sigma n (from 1 to 5) = 15
Number of different one-to-one correspondences that could be listed between the vertices of two regular n-gons is given by Sigma n (from 1 to 2n -- 1) = n(2n -- 1)