A181750 The number of paths of a chess rook in a 5D 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, 120, 291720, 1085674320, 4927561419120, 25071989721176760, 137401053406474591320, 793279085081986319145120, 4760210822189950253433759120, 29426738284267047709626231969120, 186257720453050086737999575854359760, 1201788369927033696254110199515917069120

Offset

0,2

Links

Table of n, a(n) for n=0..11.

Example

a(1) = 120 because there are 120 rook paths from (0..0) to (1..1).

Crossrefs

Row d=5 of A181731.

Sequence in context: A008701 A158043 A009767 * A003789 A325024 A325026

Adjacent sequences: A181747 A181748 A181749 * A181751 A181752 A181753

Keyword

nonn

Author

Manuel Kauers, Nov 16 2010

Status

approved