Number of partitions of T where T = (3n + 1) if n is even and T=(3n + 1)/2 if n is odd.

Terms

a(0) =2a(1) =15a(2) =7a(3) =101a(4) =22a(5) =490a(6) =56a(7) =1958a(8) =135a(9) =6842a(10) =297a(11) =21637a(12) =627a(13) =63261a(14) =1255a(15) =173525a(16) =2436a(17) =451276a(18) =4565a(19) =1121505a(20) =8349a(21) =2679689a(22) =14883a(23) =6185689a(24) =26015a(25) =13848650a(26) =44583a(27) =30167357a(28) =75175a(29) =64112359