A181724 The number of paths of a chess rook in a 8D 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, 40320, 214899027840, 2509137924026751360, 41795104403987233709518080, 852847938704373386478865686645120, 19846219244619878972245087341015659057280, 506348195597089273505079176351561351976609740160

Offset: 0

Author

Manuel Kauers, Nov 16 2010

Keywords

• nonn

Examples

			a(1) = 40320 because there are 40320 rook paths from (0..0) to (1..1).
		

Crossrefs

Row d=8 of A181731.