How can I write the taylor series expansion for the function (1+x^2)^(-1/2) in code

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Hello. I am trying to get this taylor series expansion in code but I am having a hard time. I attached a picture of the function and its taylor series expansion. I thought of using the factorial function but I don't think that will work here. Thank you for the help.

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Torsten
Torsten 2018-7-5
编辑:Torsten 2018-7-5
a0 = 1
an = -a(n-1) * (2*n-1)/(2*n)
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