A075998 Product{<n/k>: k=1,2,...,n}, where <x> denotes the integer second nearest to x. (For x=(2h+1)/2, <x> is defined to be h, not h+1; if x is an integer, then <x> is defined to be x+1.)

2, 6, 8, 60, 48, 336, 576, 2160, 3840, 25344, 17280, 262080, 322560, 829440, 1548288, 21150720, 16588800, 73543680, 139345920, 766402560, 1459814400, 9157017600, 4087480320, 90574848000, 130427781120, 361184624640