Number of pairs of triangles that are pairwise edge-disjoint in the complete graph K_n.

Terms

a(0) =15a(1) =100a(2) =385a(3) =1120a(4) =2730a(5) =5880a(6) =11550a(7) =21120a(8) =36465a(9) =60060a(10) =95095a(11) =145600a(12) =216580a(13) =314160a(14) =445740a(15) =620160a(16) =847875a(17) =1141140a(18) =1514205a(19) =1983520a(20) =2567950a(21) =3289000a(22) =4171050a(23) =5241600a(24) =6531525a(25) =8075340a(26) =9911475a(27) =12082560a(28) =14635720a(29) =17622880