Fo is an harmonic component, and it is the first of the sequence, so in my opinion we can call it h1, and so on, h2, h3,...
In this way their numbering become very obvious and simple, and math help us.
If we consider the octave intervals of the harmonic series, we note that their numbers are:
h1 = Fo, base frequency
h2 = first octave
h4 = second octave
h8 = third octave
h16 = fourth octave
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