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A181725
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The number of paths of a chess rook in a 9D 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).
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%I #7 Jul 21 2012 19:05:34
%S 1,362880,33007837322880,7408611474125625953280,
%T 2499611266020127048565292881280,
%U 1064141699563485513180737844317706666240,526577363627345975232160422620146408876598167680,289514065258843883748159731480148589989905149052842682880
%N The number of paths of a chess rook in a 9D 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) = 362880 because there are 362880 rook paths from (0..0) to (1..1).
%Y Row d=9 of A181731.
%K nonn
%O 0,2
%A _Manuel Kauers_, Nov 16 2010
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