A combinatorial survey of identities for the double factorial

Mathematics – Combinatorics

Scientific paper

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29 pages

Scientific paper

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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