Let $A$ be the set of natural numbers $n$ such that $[e^n]$ is even and $B$ the set of $n$ such that $[e^n]$ is odd, where $[-]$ denotes the floor function and $e^{x}$ the exponential function.
Question: What are the densities of $A$ and $B$?
2026-03-29 17:27:03.1774805223
Densities of subsets related to the exponential function
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