Poincaré series [or Poincare series] (or Molien series) for a certain four-fold wreath product P_4.

Terms

a(0) =1a(1) =0a(2) =1a(3) =1a(4) =2a(5) =2a(6) =5a(7) =4a(8) =9a(9) =10a(10) =15a(11) =18a(12) =29a(13) =31a(14) =47a(15) =56a(16) =76a(17) =91a(18) =124a(19) =143a(20) =191a(21) =226a(22) =286a(23) =340a(24) =430a(25) =499a(26) =622a(27) =729a(28) =885a(29) =1035