Solution to the Dancing School Problem with 6 girls and n+6 boys: f(6,n).

Terms

a(0) =1a(1) =7a(2) =79a(3) =478a(4) =2108a(5) =7364a(6) =21652a(7) =55532a(8) =127604a(9) =268108a(10) =523244a(11) =960212a(12) =1672972a(13) =2788724a(14) =4475108a(15) =6948124a(16) =10480772a(17) =15412412a(18) =22158844a(19) =31223108a(20) =43207004a(21) =58823332a(22) =78908852a(23) =104437964a(24) =136537108a(25) =176499884a(26) =225802892a(27) =286122292