How to Produce Lagrange Inversion Coefficients?

2018-02-18 05:48:25

I am new to the Mathematica I want to Produce the Lagrange Inversion Coefficients by using Bell Polynomials.

In the following image you can see 7 Coefficients which is calculated.

You can also see the An formula for calculating these coefficients by using Bell Polynomials.

Bn-1,k is the Bell Polynomial.

I want to produce the coefficients more than A7 I don't know how many times I should go further it depends on how much it converges to my result.

I believe it won't be hard to producing them but I have few knowledge in Mathematica yet.