A generalized Catalan number sequence.

Terms

a(0) =1a(1) =1a(2) =2a(3) =3a(4) =4a(5) =4a(6) =2a(7) =-3a(8) =-10a(9) =-14a(10) =-4a(11) =34a(12) =104a(13) =172a(14) =132a(15) =-197a(16) =-964a(17) =-1976a(18) =-2190a(19) =652a(20) =9294a(21) =23626a(22) =33762a(23) =12140a(24) =-84438a(25) =-280850a(26) =-493930a(27) =-397666a(28) =639678a(29) =3248466