a(n) = Bernoulli(n) * (n+1)!.

Terms

a(0) =1a(1) =-1a(2) =1a(3) =0a(4) =-4a(5) =0a(6) =120a(7) =0a(8) =-12096a(9) =0a(10) =3024000a(11) =0a(12) =-1576143360a(13) =0a(15) =0a(17) =0a(19) =0a(21) =0a(23) =0a(25) =0