Alternate Divergent Series of Real Numbers

SPECIES

\displaystyle \sum_{n\geq1} (-1)^{n-1} \, \ln n = -\dfrac{1}{2} \ln\dfrac{\pi}{2}   (semi-stable)

SUBSPECIES

\displaystyle \sum_{n\geq2} (-1)^n \, \ln n = \dfrac{1}{2} \ln\dfrac{\pi}{2}   (semi-stable)