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We show how to find series expansions for π of the form π = Σ∞
n =0
S(n)/
an
, where S(n) is some polynomial in n (depending on m, p, a). We prove that there exist such expansions for m = 8k, p = 4k, a = (−4)k, for any k, and give explicit examples for such expansions for small values of m, p, and a.
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