A transform of the Catalan numbers.

Terms

a(0) =1a(1) =-1a(2) =-1a(3) =0a(4) =2a(5) =1a(6) =-1a(7) =-4a(8) =-2a(9) =4a(10) =12a(11) =4a(12) =-20a(13) =-39a(14) =3a(15) =92a(16) =118a(17) =-84a(18) =-388a(19) =-308a(20) =596a(21) =1528a(22) =508a(23) =-3292a(24) =-5556a(25) =1154a(26) =16034a(27) =17940a(28) =-18160a(29) =-71243