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A double factorial denoted n!!, and sometimes called an odd factorial, issimilarto a factorial, but only includes digits of the same parity (odd/even).

For example:


5! = 1 x 2 x 3 x 4 x 5 = 120

5!! = 1 x 3 x 5 = 15

(the product of all odd positive integers up to and including 5)


6! = 1 x 2 x 3 x 4 x 5 x 6 = 720

6!! = 2 x 4 x 6 = 48

(the product of all even positive integers up to and including 6)


This operation is mainly used in higher level integrals.

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