Laguerre polynomials and inclusion-exclusion Does anyone know a reference for the solution of the 
generalized derangement problem via Laguerre polynomials?
The Wikipedia article here says that this is an application
of inclusion-exclusion, but I don't see how.
This formula was used by joriki in a nice MSE answer here.  
The article below solves the generalized derangement problem with
inclusion-exclusion, but without Laguerre polynomials. 

Reference:  Finn F. Knudsen and Ivar Skau, "On the Asymptotic Solution of a Card-Matching Problem", Mathematics Magazine 69 (1996), 190-197.


The result is due to

J. Gillis and S.Even, "Derangements and Laguerre polynomials", Mathematical Proceedings of the Cambridge Philosophical Society, Volume 79 / Issue 01, pp 135 - 143. 

Link to the article: DOI:10.1017/S0305004100052154
