Solution to the Dancing School Problem with n girls and n+5 boys: f(n,5).

Terms

a(0) =6a(1) =31a(2) =140a(3) =566a(4) =2104a(5) =7364a(6) =24720a(7) =80196a(8) =253072a(9) =780902a(10) =2365772a(11) =7058469a(12) =20789082a(13) =60560175a(14) =174763208a(15) =500245052a(16) =1421824896a(17) =4016278792a(18) =11283371280a(19) =31547434008a(20) =87827653936a(21) =243578509132a(22) =673221043496