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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
1, 40320, 214899027840, 2509137924026751360, 41795104403987233709518080, 852847938704373386478865686645120, 19846219244619878972245087341015659057280, 506348195597089273505079176351561351976609740160
OFFSET
0,2
EXAMPLE
a(1) = 40320 because there are 40320 rook paths from (0..0) to (1..1).
CROSSREFS
Row d=8 of A181731.
Sequence in context: A172541 A287084 A071550 * A072269 A259113 A195392
KEYWORD
nonn
AUTHOR
Manuel Kauers, Nov 16 2010
STATUS
approved