Number of partitions of 3n with same number of parts == 1 (mod 3) and == 2 (mod 3).

Terms

a(0) =1a(1) =2a(2) =6a(3) =14a(4) =32a(5) =66a(6) =134a(7) =256a(8) =480a(9) =868a(10) =1540a(11) =2664a(12) =4536a(13) =7574a(14) =12474a(15) =20234a(16) =32428a(17) =51324a(18) =80388a(19) =124582a(20) =191310a(21) =291114a(22) =439394a(23) =657936a(24) =978054a(25) =1443684a(26) =2117136a(27) =3085174a(28) =4469368a(29) =6437742