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).
Original entry on oeis.org
1, 720, 19445040, 906140159280, 54259623434853360, 3751591832963936408880, 284751719071722748492598160, 23074162542675887567516737575120, 1962510523766609850302634846653001840, 173256558851090756974435967247639154062480
Offset: 0
a(1) = 720 because there are 720 rook paths from (0..0) to (1..1).
A181752
The number of paths of a chess rook in a 7D 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).
Original entry on oeis.org
1, 5040, 1781750880, 1224777388630320, 1139907455908263095760, 1261774625300967410997361200, 1562711749309729990152410055981840, 2093930745462011336917616846237237197680, 2973970378870521024883907518445574302750687520
Offset: 0
a(1) = 5040 because there are 5040 rook paths from (0..0) to (1..1).
A246623
Number of paths of a chess rook in an n-dimensional 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).
Original entry on oeis.org
1, 1, 14, 9918, 964948464, 25071989721176760, 284751719071722748492598160, 2093930745462011336917616846237237197680, 13828562491398961948219629077212979214965847920914986240, 108581107327233631269616107897051314148463756259194308769323017769436778880
Offset: 0