a(n) = C(2n-1,n-1) mod n^3.

Terms

a(0) =0a(1) =3a(2) =10a(3) =35a(4) =1a(5) =30a(6) =1a(7) =291a(8) =253a(9) =378a(10) =1a(11) =782a(12) =1a(13) =2404a(14) =1260a(15) =291a(16) =1a(17) =3378a(18) =1a(19) =410a(20) =7899a(21) =3996a(22) =1a(23) =6030a(24) =126a(25) =10988a(26) =11188a(27) =5180a(28) =1a(29) =19712