how to convert to rational function in this case?

Question:how to convert to rational function in this case?

Posted: ComputerUser 535 Product: Maple

December 24 2013

M6 := 1+(-ln(2)-2*ln(a))*a+(-1+(1/2)*(-ln(2)-2*ln(a))^2)*a^2;
with(gfun):
seriestoratpoly(series(M6, a, 4), ['egf']);

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