Number of ordered triples of partitions of n with no common parts.

Terms

a(0) =1a(1) =0a(2) =6a(3) =18a(4) =90a(5) =192a(6) =864a(7) =1710a(8) =5970a(9) =13110a(10) =36810a(11) =75984a(12) =210546a(13) =410130a(14) =1003908a(15) =2045808a(16) =4616730a(17) =8950176a(18) =19746720a(19) =37297710a(20) =78247344a(21) =147410640a(22) =294299424a(23) =543058032a(24) =1067679540a(25) =1925323308a(26) =3653769792a(27) =6555529158a(28) =12129597486a(29) =21348640230