  We study lattice QCD in the limit of infinite gauge coupling on a discrete
spatial yet continuous Euclidean time lattice at finite baryon chemical
potential $\mu_B$. The continuous time framework is based on sending
$N_\tau\rightarrow \infty$ and the bare anisotropy to infinity while fixing the
temperature in a non-perturbative setup. This leads to a sign problem free
algorithm that allows us to study the whole $\mu_B$-$T$ plane. We construct
Taylor coefficients required for a Taylor expansion in the pressure at zero
chemical potential and in the chiral limit. On that account, cumulants in the
baryon number density are measured in various fashions to improve on accuracy.
These calculations are based on our worm type Monte Carlo algorithm featuring a
polymer resummation scheme and a histogram method.
