A181750 The number of paths of a chess rook in a 5D hypercube, from (0..0) to (n..n), where the rook may move in steps that are multiples of (1,0..0), (0,1,0..0), ..., (0..0,1).

1, 120, 291720, 1085674320, 4927561419120, 25071989721176760, 137401053406474591320, 793279085081986319145120, 4760210822189950253433759120, 29426738284267047709626231969120, 186257720453050086737999575854359760, 1201788369927033696254110199515917069120

Offset: 0

Author

Manuel Kauers, Nov 16 2010

Keywords

• nonn

Examples

			a(1) = 120 because there are 120 rook paths from (0..0) to (1..1).
		

Crossrefs

Row d=5 of A181731.