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


%I
%S 1,40320,214899027840,2509137924026751360,41795104403987233709518080,
%T 852847938704373386478865686645120,
%U 19846219244619878972245087341015659057280,506348195597089273505079176351561351976609740160
%N 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).
%e a(1) = 40320 because there are 40320 rook paths from (0..0) to (1..1).
%Y Row d=8 of A181731.
%K nonn
%O 0,2
%A _Manuel Kauers_, Nov 16 2010
