A181728 The number of paths of a chess rook in a 12D 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, 479001600, 402910665227270323200, 1193980357099103775859825737292800, 6221349234739584150822122029143772173312614400, 44698730304001991182769831137859339764690493418024756096000, 395245742455869432937361185087176756463979731526578123254618890928614400

Offset

0,2

Links

Table of n, a(n) for n=0..6.

Example

a(1) = 479001600 because there are 479001600 rook paths from (0..0) to (1..1).

Crossrefs

Row d=12 of A181731.

Sequence in context: A072232 A011523 A172535 * A233840 A203671 A251307

Adjacent sequences: A181725 A181726 A181727 * A181729 A181730 A181731

Keyword

nonn

Author

Manuel Kauers, Nov 16 2010

Extensions

a(6) from Alois P. Heinz, Jul 21 2012

Status

approved