Calculating Spectral Output

Notice from Pascal's triangle that if the order of the polynomial is even, only even harmonics will be present.
If the order is odd, only odd harmonics will be present.
If the transfer function is driven by an oscillator of amplitude 1, the output will contain the first, third and fifth harmonics with the following amplitudes:

$\displaystyle h_1$ $\displaystyle =$ $\displaystyle \frac{1}{16}(10) = 0.625$

$\displaystyle h_3$ $\displaystyle =$ $\displaystyle \frac{1}{16}(5) = 0.3125$

$\displaystyle h_5$ $\displaystyle =$ $\displaystyle \frac{1}{16}(1) = 0.0625$

``Music 270a: Waveshaping Synthesis'' by Tamara Smyth, Department of Music, University of California, San Diego (UCSD).