A181724 The number of paths of a chess rook in a 8D 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, 40320, 214899027840, 2509137924026751360, 41795104403987233709518080, 852847938704373386478865686645120, 19846219244619878972245087341015659057280, 506348195597089273505079176351561351976609740160

Offset

0,2

Links

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

Example

a(1) = 40320 because there are 40320 rook paths from (0..0) to (1..1).

Crossrefs

Row d=8 of A181731.

Sequence in context: A172541 A287084 A071550 * A072269 A259113 A195392

Adjacent sequences: A181721 A181722 A181723 * A181725 A181726 A181727

Keyword

nonn

Author

Manuel Kauers, Nov 16 2010

Status

approved