VIVA-21/Sep/2022 23:47:58
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$VIVA Yes, there is an exact formula for the n-th term! It is:
an = [Phin – (phi)n] / Sqrt[5].
where Phi = (1 + Sqrt[5]) / 2 is the so-called golden mean, and
phi = (1 – Sqrt[5]) / 2 is an associated golden number, also equal to (-1 / Phi). This formula is attributed to Binet in 1843, though known by Euler before him