Consider $$\frac1{k!}\prod_{j=1}^k(\ell+j)>n$$
Does $\ell\leq 2kn^{1/k}$ suffice ( above gives $\ell>c\cdot kn^{1/k}$ necessary at some $c>0$)?
Is there a tighter bound?
Is there any interpretation of this value?
2026-02-22 19:26:20.1771788380
Upper bound for recursion?
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