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%I #4 Dec 20 2015 10:22:47
%S 7,58,302,4203,41919,406412,3922630,37847050,366073677,3539729256,
%T 34225117612,330920692737,3199615235589,30936683427950,
%U 299122948811816,2892181883282837,27964142570392887,270381764365092475
%N Number of nX4 integer arrays with each element equal to the number of horizontal and antidiagonal neighbors less than or equal to itself.
%C Column 4 of A266055.
%H R. H. Hardin, <a href="/A266051/b266051.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 7*a(n-1) +19*a(n-2) +54*a(n-3) +52*a(n-4) +580*a(n-5) +223*a(n-6) -275*a(n-7) -60*a(n-8) +44*a(n-9) -4*a(n-10) for n>12
%e Some solutions for n=4
%e ..1..0..3..0....0..2..3..0....0..3..1..0....1..0..2..1....0..2..3..0
%e ..2..1..4..0....1..0..3..0....0..3..4..0....1..4..0..1....2..1..4..0
%e ..0..4..4..0....1..4..4..0....0..3..1..2....0..4..3..0....1..4..1..2
%e ..0..1..3..0....0..1..3..0....0..3..2..0....1..0..3..0....0..3..1..0
%Y Cf. A266055.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 20 2015
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