Numerator of 3F2([3*n, -n, n+1],[2*n+1, n+1/2], 1).

Terms

a(0) =1a(1) =-1a(2) =1a(3) =-1a(4) =1a(5) =-3a(6) =1a(7) =-1a(8) =25a(9) =-1a(10) =1a(11) =-49a(12) =1a(13) =-1a(14) =9a(15) =-3a(16) =1a(17) =-363a(18) =3025a(19) =-1a(20) =169a(21) =-169a(22) =1a(23) =-3a(24) =1a(25) =-49a(26) =289a(27) =-289a(28) =7225a(29) =-361