%I #7 Jan 08 2019 08:38:18
%S 0,4,2,1,16,16,16,68,97,128,328,548,838,1729,3056,5056,9536,17096,
%T 29441,53584,96144,168804,303114,542785,961504,1718224,3071248,
%U 5461836,9744865,17398576,30992536,55270596,98619022,175791233,313466656,559141632
%N Number of (2+1) X (n+1) arrays of permutations of 0..n*3+2 with each element having directed index change -2,-2 -1,0 0,1 or 1,0.
%H R. H. Hardin, <a href="/A264535/b264535.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 4*a(n-3) + 2*a(n-4) + 2*a(n-5) - 2*a(n-9) - a(n-10).
%F Empirical g.f.: x^2*(4 + 2*x + x^2 - 2*x^6 - x^7) / ((1 + x + x^2 - x^3 - x^4)*(1 - x - 2*x^3 - x^5 - x^6)). - _Colin Barker_, Jan 08 2019
%e All solutions for n=4:
%e .12.13.14..2..3
%e ..0..1..6..7..4
%e ..5.10.11..8..9
%Y Row 2 of A264534.
%K nonn
%O 1,2
%A _R. H. Hardin_, Nov 17 2015