Poincaré series [or Poincare series] (or Molien series) for a certain six-fold wreath product P_6.

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) =32a(13) =35a(14) =55a(15) =67a(16) =95a(17) =117a(18) =166a(19) =199a(20) =276a(21) =339a(22) =449a(23) =555a(24) =731a(25) =889a(26) =1154a(27) =1413a(28) =1794a(29) =2193