I have no idea how to solve this relation, when $n$ in $(n+2)^2\cdot g(n+2)+g(n)=0$ using generating functions, not induction (this exercise meets me in generating functions method paragraph I tried $z^n$ and $z^n\over n!$ but didn't succeed.
2026-04-04 17:43:19.1775324599
How to solve this type of recurrent relations using generation functions?
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