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A181725
The number of paths of a chess rook in a 9D 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, 362880, 33007837322880, 7408611474125625953280, 2499611266020127048565292881280, 1064141699563485513180737844317706666240, 526577363627345975232160422620146408876598167680, 289514065258843883748159731480148589989905149052842682880
OFFSET
0,2
EXAMPLE
a(1) = 362880 because there are 362880 rook paths from (0..0) to (1..1).
CROSSREFS
Row d=9 of A181731.
Sequence in context: A172536 A287085 A071551 * A195393 A229676 A230754
KEYWORD
nonn
AUTHOR
Manuel Kauers, Nov 16 2010
STATUS
approved