|
A181728
|
|
The number of paths of a chess rook in a 12D 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).
|
|
2
|
|
|
%I #8 Jul 21 2012 19:06:47
%S 1,479001600,402910665227270323200,1193980357099103775859825737292800,
%T 6221349234739584150822122029143772173312614400,
%U 44698730304001991182769831137859339764690493418024756096000,395245742455869432937361185087176756463979731526578123254618890928614400
%N The number of paths of a chess rook in a 12D 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) = 479001600 because there are 479001600 rook paths from (0..0) to (1..1).
%Y Row d=12 of A181731.
%K nonn
%O 0,2
%A _Manuel Kauers_, Nov 16 2010
%E a(6) from _Alois P. Heinz_, Jul 21 2012
|
