%I #4 Dec 10 2017 12:07:02
%S 8,47,230,1235,6504,34224,180404,950451,5007796,26385348,139020417,
%T 732477787,3859315404,20334154462,107137610499,564492004530,
%U 2974223725585,15670738828479,82566773061608,435031946402290
%N Number of nX4 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 0 or 2 neighboring 1s.
%C Column 4 of A296335.
%H R. H. Hardin, <a href="/A296331/b296331.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 4*a(n-1) +4*a(n-2) +16*a(n-3) -4*a(n-4) -14*a(n-5) -72*a(n-6) -54*a(n-7) -102*a(n-8) +15*a(n-9) -113*a(n-10) +86*a(n-11) -184*a(n-12) +203*a(n-13) -255*a(n-14) +221*a(n-15) -177*a(n-16) +106*a(n-17) -55*a(n-18) +21*a(n-19) -6*a(n-20) +a(n-21)
%e Some solutions for n=5
%e ..0..1..0..1. .0..1..0..1. .0..0..1..1. .1..0..0..1. .0..0..0..1
%e ..0..0..0..0. .0..0..0..0. .1..0..1..0. .0..0..0..0. .1..0..0..0
%e ..1..1..0..1. .0..0..0..0. .0..0..0..0. .0..0..0..0. .0..0..0..0
%e ..1..0..1..1. .0..1..0..0. .1..0..1..0. .1..1..0..0. .0..1..0..0
%e ..0..0..0..0. .1..1..0..1. .0..1..1..0. .1..0..0..0. .0..0..0..0
%Y Cf. A296335.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 10 2017