Aperiodic Monotonic Divergent Series of Rational Numbers

INFRASPECIES

m-truncated monotonic divergent series of harmonic numbers

\displaystyle \sum_{n\geq m+1} H_n = H_{m+1}+H_{m+2}+H_{m+3}+\cdots = \underbrace{\dfrac{1+\gamma}{2}}_{\text{seed}} \underbrace{-H_m^{(2)}}_{\substack{\text{stable} \\ \text{truncation} \\ \text{factor}}} \underbrace{+m \gamma}_{\substack{\text{unstable} \\ \text{truncation} \\ \text{factor}}}   (unstable)