A Heterosexual Mehler Formula for the Straight Hermite Polynomials (A La   Foata)
  The celebrated Foata combinatorial model for Hermite polynomials, and his seminal and beautiful proof of the Mehler formula, are straightened to deal with two sexes rather than one, with the exclusion of same-sex relationships (both marital and non-marital). 
Doron Zeilberger (Temple University)