# Fibonacci-like sequences

Conside The Fibonacci sequence is defined by $f_1 = 1, f_2 = 1, f_n = f_{n-1} + f_{n-2} \text{ for } n \geq 3.$ We have that $$f_{13} = 233.$$ Consider a sequence such that

$g_1 = 1, g_2 = x, g_n = g_{n-1} + g_{n-2} \text{ for } n \geq 3.$

Determine the sum of all positive integer values of $$x \geq 2$$ for which $$233$$ is a term of the sequence $$g$$.

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