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Oct 8, 2021 at 8:53 comment added Gerry Myerson I think it's (4.15) on page 28 at the end of Section 4: The permanent, of Chapter 1. It looks a little different in the book: $$D_n=\sum_{r=0}^{n-1}(-1)^r{n\choose r}(n-r)^r(n-r-1)^{n-r}$$
Oct 8, 2021 at 1:05 history answered Ira Gessel CC BY-SA 4.0