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%I #4 Dec 20 2015 07:41:05
%S 11,315,5594,118489,2482216,52086421,1092258910,22909266015,
%T 480473869537,10077157027608,211350503493933,4432712286529026,
%U 92968428515505883,1949851492689803393,40894749305093748839,857696374917901826350
%N Number of nX4 integer arrays with each element equal to the number of horizontal and antidiagonal neighbors less than itself.
%C Column 4 of A266033.
%H R. H. Hardin, <a href="/A266029/b266029.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 11*a(n-1) +231*a(n-2) -100*a(n-3) -7612*a(n-4) -1116*a(n-5) +74582*a(n-6) -64354*a(n-7) -370540*a(n-8) +661109*a(n-9) +1260417*a(n-10) +252581*a(n-11) -15283*a(n-12) +86793*a(n-13) -32631*a(n-14) +2989*a(n-15) -36*a(n-16) for n>17
%e Some solutions for n=4
%e ..0..2..2..0....0..0..0..2....0..0..2..0....0..2..3..1....0..0..0..2
%e ..1..0..0..1....2..0..0..1....1..2..4..0....1..0..0..1....2..1..1..1
%e ..0..0..1..2....2..1..4..0....0..3..0..0....0..0..4..1....2..0..0..2
%e ..0..3..1..0....2..0..3..0....0..2..3..0....0..0..0..0....1..3..0..0
%Y Cf. A266033.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 20 2015
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