As explained in Cody Problem 60571, a polygonal number is the number of dots arranged in the shape of a regular polygon. For example, 15 is a triangular number because dots can be arranged in the shape of a triangle with rows of 1, 2, 3, 4, and 5 dots. The number 16 is a square number because dots can be arranged in four rows of four.
Write a function to sum the reciprocals of polygonal numbers. In particular, compute
y = sum[1/P_n,s,{n,1,inf}]
where P_n,s is the nth s-gonal number (i.e., the nth number corresponding to a regular polygon with s sides).
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Tim William Dyuman Joshi Christian Schröder

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