Suppose that it is known that two functions $f(n)$ and $g(n)$, where $n$ is a non-negative integer, satisfy
$$ f(n) = g(n)-2\,g(n+1)+g(n+2) $$
From this information, can anything be said about the functional form of $f$ (or $g$)?
2026-04-28 12:15:03.1777378503
Guessing functional form from an equality
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