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A commentary on the continued fraction by which the illustrious La Grange has expressed the binomial powers

Leonhard Euler
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Abstract

Euler gives a continued fraction representation of (1+x)^n involving 1,3,5,7,... and n^2-1,n^2-4,n^3-9,... and squares of z, for x=2y and y=z/(1-z). He evaluates this continued fraction at z=t sqrt(-1), for ``vanishing'' n, and for infinite n.

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Leonhard Euler. 2005-07-22. A commentary on the continued fraction by which the illustrious La Grange has expressed the binomial powers. https://arxiv.org/abs/math/0507459

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