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%I #10 Jan 27 2024 16:29:04
%S 4,25,65,177,519,1528,4509,13329,39609,117981,351994,1051660,3146513,
%T 9424435,28252647,84757174,254424013,764109856,2295781145,6900025071,
%U 20743913296,62377653458,187606559148,564330015524,1697745322295,5108065042362,15370102161553,46251622171599
%N Number of 3 X n 0..1 arrays with every element equal to 0, 1, 2 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
%C Row 3 of A302322.
%H R. H. Hardin, <a href="/A302324/b302324.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 5*a(n-1) -4*a(n-2) -6*a(n-3) +a(n-4) -15*a(n-5) +25*a(n-6) +37*a(n-7) +8*a(n-8) -27*a(n-9) -57*a(n-10) -49*a(n-11) +51*a(n-12) +44*a(n-13) -12*a(n-14) for n>15.
%e Some solutions for n=5:
%e ..0..0..0..1..1. .0..1..0..1..1. .0..0..0..1..0. .0..1..0..1..0
%e ..0..1..0..1..0. .0..1..0..0..1. .1..1..1..1..0. .0..1..0..1..0
%e ..0..1..0..1..0. .0..1..0..1..0. .0..0..0..1..0. .1..1..1..1..1
%Y Cf. A302322.
%K nonn
%O 1,1
%A _R. H. Hardin_, Apr 05 2018
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