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%I #4 Dec 21 2015 08:16:51
%S 5,36,161,929,4893,26948,145274,790986,4286644,23281595,126318252,
%T 685685972,3721248548,20197452145,109618496442,594950280201,
%U 3229037349370,17525382955525,95117628995827,516243924279843
%N Number of nX4 integer arrays with each element equal to the number of horizontal and antidiagonal neighbors exactly one smaller than itself.
%C Column 4 of A266101.
%H R. H. Hardin, <a href="/A266097/b266097.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) +24*a(n-2) +17*a(n-3) -89*a(n-4) -40*a(n-5) +146*a(n-6) +18*a(n-7) -82*a(n-8) -6*a(n-9) -8*a(n-10) +36*a(n-11) -13*a(n-12) +a(n-13) -2*a(n-14) +a(n-15) for n>16
%e Some solutions for n=4
%e ..0..0..0..1....0..0..2..1....0..0..2..1....0..0..1..1....0..1..1..0
%e ..1..1..2..0....1..1..0..1....1..1..0..1....1..2..0..1....2..1..0..1
%e ..1..0..0..1....1..0..1..1....2..1..1..1....0..0..2..0....1..0..1..1
%e ..1..1..1..0....1..1..0..0....1..0..0..0....1..1..0..1....1..2..0..1
%Y Cf. A266101.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 21 2015