a(n) = binomial(n^2,n) mod n^5.

Terms

a(0) =0a(1) =6a(2) =84a(3) =796a(4) =5a(5) =3792a(6) =7a(7) =27768a(8) =22608a(9) =56440a(10) =11a(11) =83772a(12) =13a(13) =168448a(14) =61065a(15) =471536a(16) =17a(17) =445320a(18) =19a(19) =994080a(20) =2258235a(21) =4188272a(22) =23a(23) =6083208a(24) =156275a(25) =743912a(26) =13548492a(27) =3588928a(28) =29a(29) =16444800