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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.
2
1, 40320, 8201380224, 1850957806329280, 427196257460311066608, 99184884676523895557447104, 23066495371480810626495005438496, 5366698074745901061777599023075846976, 1248760044848501400078426452469652899962528, 290576954131557518350262914717217159752148225600
OFFSET
0,2
LINKS
EXAMPLE
a(1) = 8! = 40320.
CROSSREFS
Column k=8 of A227655.
Cf. A000142.
Sequence in context: A246219 A045516 A160318 * A172541 A287084 A071550
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Jul 19 2013
STATUS
approved