A078152(n!).

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =4a(5) =22a(6) =80a(7) =304a(8) =1043a(9) =3538a(10) =12094a(11) =42979a(12) =156237a(13) =587926a(14) =2283038a(15) =9142910a(16) =37708601a(17) =160014979a(18) =697523776a(19) =3119511496a(20) =14295524835a(21) =67052144163a(22) =321571055089