The asymptotics of coefficients of the Taylor series of the function $\xi(s)$

In connection with Riemann hypothesis on zeros of zeta-function $\zeta(s)$ the asymptotic formula for coefficients of the Tailor series of the function $\xi(s)=\frac12s(s-1)\pi^{-s/2}\Gamma(s/2)\zeta(s)$ at the point $s=1/2$ is found.