a(n) = n!*Bernoulli(n-1), n > 2; a(0)=0, a(1)=1, a(2)=1.

Terms

a(0) =0a(1) =1a(2) =1a(3) =1a(4) =0a(5) =-4a(6) =0a(7) =120a(8) =0a(9) =-12096a(10) =0a(11) =3024000a(12) =0a(13) =-1576143360a(14) =0a(16) =0a(18) =0a(20) =0a(22) =0a(24) =0a(26) =0a(28) =0