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%I #10 Jun 08 2021 12:15:26
%S 16,208,2610,33054,418344,5294713,67012245,848136217,10734382366,
%T 135859031714,1719491243863,21762632197104,275437378257814,
%U 3486055760828284,44121044298605071,558415207201660600
%N Number of n X 4 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 0, 1 or 2 neighboring 1's.
%H R. H. Hardin, <a href="/A297370/b297370.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 13*a(n-1) - 4*a(n-2) - 3*a(n-3) - 19*a(n-4) + 15*a(n-5) - a(n-6).
%F Empirical g.f.: x*(16 - 30*x^2 + 4*x^3 + 10*x^4 - x^5) / ((1 - x)*(1 - 12*x - 8*x^2 - 5*x^3 + 14*x^4 - x^5)). - _Colin Barker_, Feb 27 2019
%e Some solutions for n=5:
%e ..0..0..0..1. .0..0..0..0. .0..0..0..0. .0..0..0..1. .0..0..0..1
%e ..1..0..1..0. .0..1..1..0. .1..1..0..1. .1..1..0..0. .0..0..1..0
%e ..0..1..0..1. .1..1..0..1. .0..0..1..0. .0..1..1..1. .0..1..1..0
%e ..0..0..0..0. .0..0..1..0. .1..0..0..1. .0..0..1..0. .0..1..1..0
%e ..1..0..1..1. .0..0..1..1. .0..1..0..0. .0..1..0..0. .0..0..0..0
%Y Column 4 of A297374.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 29 2017
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