Solution to the Dancing School Problem with 7 girls and n+7 boys: f(7,n).

Terms

a(0) =1a(1) =8a(2) =133a(3) =1044a(4) =5794a(5) =24720a(6) =86608a(7) =260720a(8) =693552a(9) =1666000a(10) =3675680a(11) =7549488a(12) =14591440a(13) =26770832a(14) =46955760a(15) =79197040a(16) =129067568a(17) =204062160a(18) =314062912a(19) =471875120a(20) =693838800a(21) =1000520848a(22) =1417492880a(23) =1976199792a(24) =2714924080