m at h . N T / 0 11 02 38 v 3 1 0 O ct 2 00 2 SOME NEW FORMULAS FOR π
نویسندگان
چکیده
We show how to find series expansions for π of the form π = ∞ n=0 S(n) mn pn a n , 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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