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

Terms

a(0) =3a(1) =6a(2) =18a(3) =42a(4) =94a(5) =180a(6) =348a(7) =602a(8) =1047a(9) =1692a(10) =2737a(11) =4194a(12) =6426a(13) =9450a(14) =13863a(15) =19716a(16) =27933a(17) =38616a(18) =53160a(19) =71748a(20) =96396a(21) =127440a(22) =167704a(23) =217740a(24) =281439a(25) =359654a(26) =457617a(27) =576630a(28) =723592a(29) =900396