they're so cool!
the i-th harmonic number is 0.671865985524009837878390572804313153518422307703465222038756959... + 1.07667404746858117413405079475000049044565626640381666557506248... i
using the formula H(n)=integral from 0 to 1 of (1-x^n)/(1-x)
it can be derived using some nifty calculus
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