A181752 - OEIS

A181752

The number of paths of a chess rook in a 7D 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 19:08:39

%S 1,5040,1781750880,1224777388630320,1139907455908263095760,

%T 1261774625300967410997361200,1562711749309729990152410055981840,

%U 2093930745462011336917616846237237197680,2973970378870521024883907518445574302750687520

%N The number of paths of a chess rook in a 7D 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) = 5040 because there are 5040 rook paths from (0..0) to (1..1).

%Y Row d=7 of A181731.

%K nonn

%O 0,2

%A _Manuel Kauers_, Nov 16 2010