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%I #5 Jul 19 2013 17:14:47
%S 1,5040,93770800,1891074940160,38746316631586896,
%T 796655971557156062816,16391903881902996952724768,
%U 337320253484345016223956919936,6941648177366735193973359263017216,142850870919946441196223189856661775872,2939698583689917131062885788617101100432640
%N Number of lattice paths from {n}^7 to {0}^7 using steps that decrement one component by 1 such that for each point (p_1,p_2,...,p_7) we have abs(p_{i}-p_{i+1}) <= 1.
%H Alois P. Heinz, <a href="/A227669/b227669.txt">Table of n, a(n) for n = 0..150</a>
%e a(1) = 7! = 5040.
%Y Column k=7 of A227655.
%Y Cf. A000142.
%K nonn
%O 0,2
%A _Alois P. Heinz_, Jul 19 2013
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