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%I #4 Dec 20 2015 07:08:37
%S 3,7,14,42,99,259,719,1784,4792,12479,32263,86025,222663,585072,
%T 1535472,4002444,10527738,27516774,72060109,188952481,494214824,
%U 1295507675,3392305134,8882420053,23272852966,60933892273,159611564865,418043981246
%N Number of nX2 integer arrays with each element equal to the number of horizontal, vertical and antidiagonal neighbors exactly one smaller than itself.
%C Column 2 of A266025.
%H R. H. Hardin, <a href="/A266019/b266019.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) +2*a(n-2) +6*a(n-3) -a(n-4) +20*a(n-5) -25*a(n-6) -37*a(n-7) -53*a(n-8) -52*a(n-9) +47*a(n-10) +74*a(n-11) +77*a(n-12) +30*a(n-13) -29*a(n-14) -34*a(n-15) -34*a(n-16) -a(n-17) -6*a(n-18) +11*a(n-19) +a(n-20) +a(n-21)
%e Some solutions for n=4
%e ..1..1....0..1....1..0....0..1....1..0....1..0....0..1....1..0....1..0....1..0
%e ..0..1....1..2....1..1....2..1....1..2....1..1....2..1....1..2....1..2....2..1
%e ..1..1....2..0....1..2....0..2....2..1....2..2....2..0....1..0....1..2....2..1
%e ..2..0....1..1....0..0....0..1....0..1....0..1....1..1....1..1....0..1....0..1
%Y Cf. A266025.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 20 2015
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