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

Terms

a(0) =1a(1) =6a(2) =46a(3) =212a(4) =738a(5) =2104a(6) =5150a(7) =11196a(8) =22162a(9) =40688a(10) =70254a(11) =115300a(12) =181346a(13) =275112a(14) =404638a(15) =579404a(16) =810450a(17) =1110496a(18) =1494062a(19) =1977588a(20) =2579554a(21) =3320600a(22) =4223646a(23) =5314012a(24) =6619538a(25) =8170704a(26) =10000750a(27) =12145796a(28) =14644962a(29) =17540488