If $n$ is an integer and $p_e(n)$ is the number of partitions for $n$ such that all parts are even, what would be an infinite product formula for $\sum_{n \geq 0} p_e(n)\cdot x^n$
2026-04-01 09:33:06.1775035986
Infinite product formula for $\sum_{n \geq 0} p_e(n)\cdot x^n$
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Replace $x$ with $x^2$ in the product formula for all partitions.