A181750 - OEIS

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).

%I #7 Jul 21 2012 19:07:52

%S 1,120,291720,1085674320,4927561419120,25071989721176760,

%T 137401053406474591320,793279085081986319145120,

%U 4760210822189950253433759120,29426738284267047709626231969120,186257720453050086737999575854359760,1201788369927033696254110199515917069120

%N 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).

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

%Y Row d=5 of A181731.

%K nonn

%O 0,2

%A _Manuel Kauers_, Nov 16 2010