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arxiv: 0906.1317 · v1 · submitted 2009-06-07 · 🧮 math.CO

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A combinatorial survey of identities for the double factorial

David Callan
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classification 🧮 math.CO
keywords combinatorialdoublefactorialidentitiessurveybijectivedozeninstance
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We survey combinatorial interpretations of some dozen identities for the double factorial such as, for instance, (2n-2)!! + Sum_{k=2}^{n} (2n-1)!!(2k-4)!!/(2k-1)!! = (2n-1)!!. Our methods are mostly bijective.

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