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%I #6 Jul 19 2013 17:22:53
%S 1,1,4,320,1281696,482913033152,27297846037161958056,
%T 337320253484345016223956919936,
%U 1248760044848501400078426452469652899962528,1817025580455577353700768095528219275036151622984555026720
%N Number of lattice paths from {n}^n to {0}^n using steps that decrement one component by 1 such that for each point (p_1,p_2,...,p_n) we have abs(p_{i}-p_{i+1}) <= 1.
%e a(0) = 1: () .
%e a(1) = 1: (1)-(0) .
%e . (1,2) (0,1)
%e . / \ / \
%e a(2) = 4: (2,2) (1,1) (0,0) .
%e . \ / \ /
%e . (2,1) (1,0)
%Y Main diagonal of A227655.
%K nonn
%O 0,3
%A _Alois P. Heinz_, Jul 19 2013
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