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A227658 Number of lattice paths from {4}^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.

%I A227658 #5 Jul 19 2013 16:56:41
%S A227658 1,1,16,2328,1281696,1897242448,6173789662504,38746316631586896,
%T A227658 427196257460311066608,7716228754248308194763776,
%U A227658 216245142312150285990621189096,9001993707519997876764394044746416,537141544856485105833302134461795535280
%N A227658 Number of lattice paths from {4}^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 A227658 a(2) = 2^4 = 16:
%e A227658 .     (3,4)       (2,3)       (1,2)       (0,1)
%e A227658 .    /     \     /     \     /     \     /     \
%e A227658 (4,4)       (3,3)       (2,2)       (1,1)       (0,0)
%e A227658 .    \     /     \     /     \     /     \     /
%e A227658 .     (4,3)       (3,2)       (2,1)       (1,0)
%Y A227658 Row n=4 of A227655.
%K A227658 nonn
%O A227658 0,3
%A A227658 _Alois P. Heinz_, Jul 19 2013