a(n) = n*(n+1)*(n+2)*(n+3)+1 = (n^2 + 3*n + 1)^2.

Terms

a(0) =1a(1) =25a(2) =121a(3) =361a(4) =841a(5) =1681a(6) =3025a(7) =5041a(8) =7921a(9) =11881a(10) =17161a(11) =24025a(12) =32761a(13) =43681a(14) =57121a(15) =73441a(16) =93025a(17) =116281a(18) =143641a(19) =175561a(20) =212521a(21) =255025a(22) =303601a(23) =358801a(24) =421201a(25) =491401a(26) =570025a(27) =657721a(28) =755161a(29) =863041