I want to solve the equation $x_{n+1}=\Sigma_{i=1}^{n} x_{i}x_{n-i}$. Plugging the equation into Mathematica gives me $x_n=(-1)^{n}2^{2n+1} Binomial(1/2, n+1)x_0^{n+1}$. How might I derive this?
2026-03-25 17:45:24.1774460724
Nonlinear Recursion Solution Process for $x_{n+1}=\Sigma_{i=1}^{n} x_{i}x_{n-i}$ (Known Solution)
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