  We propose a novel dark-energy equation-of-state parametrization, with a
single parameter $\eta$ that quantifies the deviation from $\Lambda$CDM
cosmology. We first confront the scenario with various datasets, from Hubble
function (OHD), Pantheon, baryon acoustic oscillations (BAO), and their joint
observations, and we show that $\eta$ has a preference for a non-zero value,
namely a deviation from $\Lambda$CDM cosmology is favored, although the zero
value is marginally inside the 1$\sigma$ confidence level. However, we find
that the present Hubble function value acquires a higher value, namely $ H_0=
66.624^{+0.011}_{-0.013}~Km~ s^{-1} Mpc^{-1} $, which implies that the $H_0$
tension can be partially alleviated. Additionally, we perform a cosmographic
analysis, showing that the universe transits from deceleration to acceleration
in the recent cosmological past, nevertheless, in the future, it will not
result in a de Sitter phase, since it exhibits a second transition from
acceleration to deceleration. Finally, we perform the Statefinder analysis. The
scenario behaves similarly to the $ \Lambda$CDM paradigm at high redshifts,
while the deviation becomes significant at late and recent times and especially
in the future.
