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Problem with Padé approximation

I let


and calculate the (2,4) Padé approximation of f:


Sage answers with

(-244/3x^2 - 1/1512000x + 200)/(x^4 - 1/18144000x^3 + 56/3x^2 - 1/1512000*x + 200)

which seems incorrect. (The Taylor series of this rational function has a x^3 term which differs from that of f.)

Am I doing something wrong, or is there a problem with sage?