$\displaystyle

% MathType!MTEF!2!1!+-

% feqaeaartrvr0aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuL wBLn

% hiov2DGi1BTfMBaeXatLxBI9gBaebbnrfifHhDYfgasaacH8sr ps0l

% bbf9q8WrFfeuY-Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0-yr0R

% Yxir-Jbba9q8aq0-yq-He9q8qqQ8frFve9Fve9Ff0dmeaabaqaciGa

% caGaaeqabaaaamaaaOabaeqabaGaamOzaiaad+gacaWGYbGaaG jbVl

\begin{array}{l}

for\;all\;odd\;n \succ 1\quad ,prove\;that \\

^{4n} C_{2n} \;\;is\;divisible\;by(\;8n + 4) \\

\end{array}

$