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A181751
The number of paths of a chess rook in a 6D 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, 720, 19445040, 906140159280, 54259623434853360, 3751591832963936408880, 284751719071722748492598160, 23074162542675887567516737575120, 1962510523766609850302634846653001840, 173256558851090756974435967247639154062480
OFFSET
0,2
EXAMPLE
a(1) = 720 because there are 720 rook paths from (0..0) to (1..1).
CROSSREFS
Row d=6 of A181731.
Sequence in context: A143476 A008979 A158044 * A151596 A068300 A003792
KEYWORD
nonn
AUTHOR
Manuel Kauers, Nov 16 2010
STATUS
approved