See my answer to the ask.sagemath question 
<https://ask.sagemath.org/question/54385/power-series-method-pademn-off-by-1/>, 
whose the present question is a duplicate…
Le mercredi 25 novembre 2020 à 13:42:44 UTC+1, Daniel Friedan a écrit :

> For p a power series in x, p.pade(m,n) requires p to be given up through 
> and including O(x^(m+n+1)).
>
> Shouldn't this be O(x^(m+n)) ?
>
> The Padé approximant  P_m(x)/Q_n(x) contains m+n+1 unknown coefficients.  
> So p(x) should contain m+n+1 terms, x^0 ... x^(m+n).
>
> Or am I missing something elementary?
>
> Daniel
>
>

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