A227670 Number of lattice paths from {n}^8 to {0}^8 using steps that decrement one component by 1 such that for each point (p_1,p_2,...,p_8) we have abs(p_{i}-p_{i+1}) <= 1.

1, 40320, 8201380224, 1850957806329280, 427196257460311066608, 99184884676523895557447104, 23066495371480810626495005438496, 5366698074745901061777599023075846976, 1248760044848501400078426452469652899962528, 290576954131557518350262914717217159752148225600

Offset

0,2

Links

Alois P. Heinz, Table of n, a(n) for n = 0..100

Example

a(1) = 8! = 40320.

Crossrefs

Column k=8 of A227655.

Cf. A000142.

Sequence in context: A246219 A045516 A160318 * A172541 A287084 A071550

Adjacent sequences: A227667 A227668 A227669 * A227671 A227672 A227673

Keyword

nonn

Author

Alois P. Heinz, Jul 19 2013

Status

approved