ASKSAGE: Sage Q&A Forum - RSS feedhttps://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Sat, 31 Aug 2024 21:07:48 +0200find coefficient of generating functions with three variablehttps://ask.sagemath.org/question/79004/find-coefficient-of-generating-functions-with-three-variable/I want to write a sage math code to find the coefficient of $x^{15}d^7r^8$ in the expansion of $$\frac{1}{1-\bigg(
\frac{xd+(xd)^2+(xd)^3}{1+(xd)+(xd)^2+(xd)^3} + \frac{xr+(xr)^2+(xr)^3}{1+xr+(xr)^2+(xr)^3} \bigg)}$$
I use free version of ChatGPT,but it writes always wrong code because it knows SAGE until 2021. Can you help me ?jacopSat, 31 Aug 2024 21:07:48 +0200https://ask.sagemath.org/question/79004/Finding the coefficient of multivariable generating functionhttps://ask.sagemath.org/question/72418/finding-the-coefficient-of-multivariable-generating-function/I want to find the coefficient of $[a^3b^3c^3]$ in the expansion of $$\bigg[1-\bigg(\frac{a+a^2}{1-(a+a^2)}+\frac{b+b^2}{1-(b+b^2)}+\frac{c+c^2}{1-(c+c^2)}\bigg)\bigg]^{(-1)}$$
I have made research on internet about coefficient of this multivariable generating function, but could not find something valuable. Can you help me to calculate the coefficent using Sagemath ?jacopThu, 10 Aug 2023 16:02:26 +0200https://ask.sagemath.org/question/72418/