  We derive the holographic entanglement entropy contribution from pure and
mixed gravitational Chern-Simons(CS) terms in AdS$_{2k+1}$. This is done
through two different methods : first, by a direct evaluation of CS action in a
holographic replica geometry and second by a descent of Dong's derivation
applied to the corresponding anomaly polynomial. In lower dimensions $(k=1,2)$,
the formula coincides with the Wald-Tachikawa formula for black hole entropy
from gravitational CS terms. New extrinsic curvature corrections appear for
$k\geq 3$ : we give explicit and concise expressions for the two pure
gravitational CS terms in AdS$_7$ and present various consistency checks,
including agreements with the black hole entropy formula when evaluated at the
bifurcation surface.
