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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

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Last modified December 2 08:31 EST 2021. Contains 349437 sequences. (Running on oeis4.)