An odd power is a number of the form m^n for m>0 an integer and n a positive odd integer. The first few odd powers are 1, 8, 27, 32, 64, 125, 128, 216, 243, 343, 512, ... (OEIS A070265). Amazingly, the double series of reciprocals of the odd powers that are congruent to 3 (mod 4) is given by sum_(n = 0)^∞ sum_(m = 1)^∞ 1/(4n + 3)^(2m + 1) = 1/8 π - 1/2 ln2.
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