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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.

%I A227670 #5 Jul 19 2013 17:16:02
%S A227670 1,40320,8201380224,1850957806329280,427196257460311066608,
%T A227670 99184884676523895557447104,23066495371480810626495005438496,
%U A227670 5366698074745901061777599023075846976,1248760044848501400078426452469652899962528,290576954131557518350262914717217159752148225600
%N 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.
%H A227670 Alois P. Heinz, <a href="/A227670/b227670.txt">Table of n, a(n) for n = 0..100</a>
%e A227670 a(1) = 8! = 40320.
%Y A227670 Column k=8 of A227655.
%Y A227670 Cf. A000142.
%K A227670 nonn
%O A227670 0,2
%A A227670 _Alois P. Heinz_, Jul 19 2013