a(n) = n! modulo n*(n+1)*(n+2)/3.

Terms

a(0) =1a(1) =2a(2) =6a(3) =24a(4) =50a(5) =48a(6) =0a(7) =0a(8) =210a(9) =120a(10) =352a(11) =168a(12) =0a(13) =0a(14) =800a(15) =288a(16) =1122a(17) =360a(18) =0a(19) =0a(20) =2002a(21) =528a(22) =0a(23) =0a(24) =0a(25) =0a(26) =4032a(27) =840a(28) =4930a(29) =960