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Does anyone have an explanation for this OEIS formula?

Правка en1, от heyyolol, 2020-03-29 07:11:38

Does anyone want to help explain the formula for counting number of permutations with no hits to the main diagonal: https://oeis.org/A003471 ? It was needed in one of my country's training contest yesterday, so I'm interested to find out more about how the formula is derived. Thank you!

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en1 Английский heyyolol 2020-03-29 07:11:38 341 Initial revision (published)