Poincaré series [or Poincare series] (or Molien series) for a certain five-fold wreath product P_5.

Terms

a(0) =1a(1) =0a(2) =1a(3) =1a(4) =2a(5) =2a(6) =5a(7) =4a(8) =9a(9) =10a(10) =16a(11) =19a(12) =31a(13) =34a(14) =53a(15) =64a(16) =89a(17) =109a(18) =152a(19) =180a(20) =246a(21) =298a(22) =388a(23) =473a(24) =612a(25) =732a(26) =935a(27) =1125a(28) =1402a(29) =1685