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A181750
The number of paths of a chess rook in a 5D 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, 120, 291720, 1085674320, 4927561419120, 25071989721176760, 137401053406474591320, 793279085081986319145120, 4760210822189950253433759120, 29426738284267047709626231969120, 186257720453050086737999575854359760, 1201788369927033696254110199515917069120
OFFSET
0,2
EXAMPLE
a(1) = 120 because there are 120 rook paths from (0..0) to (1..1).
CROSSREFS
Row d=5 of A181731.
Sequence in context: A008701 A158043 A009767 * A003789 A325024 A325026
KEYWORD
nonn
AUTHOR
Manuel Kauers, Nov 16 2010
STATUS
approved