  A recurrence relation for the Li/Keiper constants in terms of the Stieltjes
constants is derived in this paper. In addition, we also report a formula for
the Stieltjes constants in terms of the higher derivatives of the Riemann zeta
function. A formula for the Stieltjes constants in terms of the (exponential)
complete Bell polynomials containing the eta constants as the arguments is also
derived.
