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We construct a generalization of the Day convolution tensor product ofpresheaves that works for certain double $\infty$-categories. Using thisconstruction, we obtain an $\infty$-categorical version of the well-knowndescription of (one-object) operads as associative algebras in symmetricsequences; more generally, we show that (enriched) $\infty$-operads withvarying spaces of objects can be described as associative algebras in a double$\infty$-category of symmetric collections.

$\infty$-operads via symmetric sequences