Expansion of g.f. (sqrt(x+1) - sqrt(1-3*x))/(2*(x+1)^(3/2)).

Terms

a(0) =0a(1) =1a(2) =-1a(3) =2a(4) =-1a(5) =4a(6) =2a(7) =13a(8) =23a(9) =68a(10) =164a(11) =439a(12) =1146a(13) =3067a(14) =8231a(15) =22306a(16) =60791a(17) =166684a(18) =459308a(19) =1271479a(20) =3534116a(21) =9859573a(22) =27598757a(23) =77490472a(24) =218183522a(25) =615902899a(26) =1742738477a(27) =4942022648a(28) =14043034703a(29) =39979680748