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Recover general formula for fourier series?


Is there a way to recover the general formula for a fourier series? That is, f.fourier_series_sine_coefficient(9,pi) will give me the 9th sine coefficient, but I'd like to know more generally how I can construct the Nth sine coefficient.

I'm doing some complicated (to me) fourier series, and I'm having trouble figuring out the formula for the Nth.

Thanks for any help.