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%I #7 Apr 05 2018 04:10:29
%S 4,32,153,772,3818,19191,96004,481261,2411557,12086268,60572976,
%T 303579352,1521476119,7625336613,38216661796,191534345225,
%U 959932146275,4810989844333,24111728148027,120843206657400,605642220203867
%N Number of 3 X n 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
%C Row 3 of A302265.
%H R. H. Hardin, <a href="/A302267/b302267.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-1) +14*a(n-2) -9*a(n-3) -54*a(n-4) -10*a(n-5) +65*a(n-6) +17*a(n-7) -8*a(n-8) -2*a(n-9) -31*a(n-10) -7*a(n-11) +9*a(n-12) for n>13.
%e Some solutions for n=5:
%e 0 1 0 0 1 0 1 0 0 1 0 1 0 1 0 0 0 1 0 0
%e 1 0 0 1 0 0 1 0 0 1 1 0 0 0 1 0 1 1 0 1
%e 1 1 1 0 1 1 0 0 1 1 1 0 1 1 1 0 1 1 0 1
%Y Cf. A302265.
%K nonn
%O 1,1
%A _R. H. Hardin_, Apr 04 2018
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