  We present oxygen abundances relative to hydrogen (O/H) in the narrow line
regions (NLRs) gas phases of Seyferts 1 (Sy 1s) and Seyferts 2 (Sy 2s) Active
Galactic Nuclei (AGNs). We used fluxes of the optical narrow emission line
intensities [$3\,500<\lambda($\AA$)<7\,000$] of 561 Seyfert nuclei in the local
universe ($z\lesssim0.31$) from the second catalog and data release (DR2) of
the BAT AGN Spectroscopic Survey, which focuses on the \textit{Swift}-BAT hard
X-ray ($\gtrsim10$ keV) detected AGNs. We derived O/H from relative intensities
of the emission lines via the strong-line methods. We find that the AGN O/H
abundances are related to their hosts stellar masses and that they follow a
downward redshift evolution. The derived O/H together with the hard X-ray
luminosity ($L_{\rm X}$) were used to study the X-ray luminosity-metallicity
($L_{\rm X}$-$Z_{\rm NLR}$) relation for the first time in Seyfert galaxies. In
contrast to the broad-line focused ($L_{\rm X}$-$Z_{\rm BLR}$) studies, we find
that the $L_{\rm X}$-$Z_{\rm NLR}$ exhibit significant anti-correlations with
the Eddington ratio ($\lambda_{\rm Edd}$) and these correlations vary with
redshifts. This result indicates that the low-luminous AGNs are more actively
undergoing Interstellar Medium (ISM) enrichment through star formation in
comparison with the more luminous X-ray sources. Our results suggest that the
AGN is somehow driving the galaxy chemical enrichment, as a result of the
inflow of pristine gas that is diluting the metal rich gas, together with a
recent cessation on the circumnuclear star-formation.
