Derivation of forward jump for T=Harmonic numbers
From timescalewiki
$\begin{array}{ll} \sigma(t) &= \sigma \left( \displaystyle\sum_{k=1}^{n} \dfrac{1}{k} \right) \\ &= \displaystyle\sum_{k=1}^{n+1} \dfrac{1}{k} \\ &= t + \dfrac{1}{n+1} \\ \end{array}$