Poincaré series [or Poincare series] of Lie algebra associated with a certain braid group.

Terms

a(0) =3a(1) =12a(2) =40a(3) =102a(4) =219a(5) =419a(6) =738a(7) =1221a(8) =1923a(9) =2910a(10) =4260a(11) =6064a(12) =8427a(13) =11469a(14) =15326a(15) =20151a(16) =26115a(17) =33408a(18) =42240a(19) =52842a(20) =65467a(21) =80391a(22) =97914a(23) =118361a(24) =142083a(25) =169458a(26) =200892a(27) =236820a(28) =277707a(29) =324049