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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).
1
1, 5040, 1781750880, 1224777388630320, 1139907455908263095760, 1261774625300967410997361200, 1562711749309729990152410055981840, 2093930745462011336917616846237237197680, 2973970378870521024883907518445574302750687520
OFFSET
0,2
EXAMPLE
a(1) = 5040 because there are 5040 rook paths from (0..0) to (1..1).
CROSSREFS
Row d=7 of A181731.
Sequence in context: A287083 A158039 A071549 * A208193 A259112 A195391
KEYWORD
nonn
AUTHOR
Manuel Kauers, Nov 16 2010
STATUS
approved