I am trying to find general formula of the sequence $t(k)$ defined by:
$t(1)=2,t(2)=8,g(1)=2,g(2)=4$
and
$t(k+1)=t(k) \cdot2^{g(k)}$,
$g(k)=\dfrac{t(k)}{g(k-1)}$.
alternatively, I want to know if $t(k)$ is bounded by exponential size of $k$.
2026-03-28 17:40:18.1774719618
How to calculate the general term formula of $t(k)$
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