Question: how to convert hypergeom expression into exponential of something or rational function?

September 05 2012 Ex 70
Maple
0

with(SumTools):
He := sum(((-1)^k)*n!/(k!*(n-2*k)!*2^k)*x^(n-2*k), k=0..n/2);
Gen := simplify(sum(He*z^n/n!, n=0..infinity));

convert(Gen, ratpoly);

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