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, 362880, 33007837322880, 7408611474125625953280, 2499611266020127048565292881280, 1064141699563485513180737844317706666240, 526577363627345975232160422620146408876598167680, 289514065258843883748159731480148589989905149052842682880

Offset

0,2

Links

Table of n, a(n) for n=0..7.

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

Adjacent sequences: A181722 A181723 A181724 * A181726 A181727 A181728

Keyword

nonn

Author

Manuel Kauers, Nov 16 2010

Status

approved