I am not considering (n!)!(n!)!.

1!!+11!! + 1 is even.

3!!+13!! +1 is even.

5!!+15!! + 1 is even.

7!!+17!! +1 is even.

9!!+19!! +1 is even.

Is it true that n!!+1n!! + 1 is always an even number for all positive odd integers n?n?

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