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A302208 Number of nX4 0..1 arrays with every element equal to 0, 2 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%I A302208 #4 Apr 03 2018 11:59:05
%S A302208 1,13,5,7,18,55,172,575,1962,6756,23400,81288,283089,987275,3444621,
%T A302208 12023434,41982749,146612525,512036344,1788383898,6246509941,
%U A302208 21818284060,76209472929,266195826556,929812279542,3247807389634,11344517688838
%N A302208 Number of nX4 0..1 arrays with every element equal to 0, 2 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
%C A302208 Column 4 of A302212.
%H A302208 R. H. Hardin, <a href="/A302208/b302208.txt">Table of n, a(n) for n = 1..210</a>
%F A302208 Empirical: a(n) = 4*a(n-1) -3*a(n-2) +12*a(n-3) -21*a(n-4) -18*a(n-5) -16*a(n-6) +14*a(n-7) +21*a(n-8) +37*a(n-9) -6*a(n-10) +25*a(n-11) +62*a(n-12) -20*a(n-13) -7*a(n-14) -75*a(n-15) -76*a(n-16) -51*a(n-17) +57*a(n-18) +43*a(n-19) +35*a(n-20) +30*a(n-21) -35*a(n-22) -27*a(n-23) +10*a(n-24) +2*a(n-25) +6*a(n-26) -2*a(n-28) for n>32
%e A302208 Some solutions for n=5
%e A302208 ..0..0..1..1. .0..0..1..0. .0..1..0..0. .0..0..1..1. .0..0..1..1
%e A302208 ..0..0..1..1. .0..0..1..0. .0..1..0..0. .0..0..1..1. .0..0..1..1
%e A302208 ..1..0..1..1. .1..1..1..1. .1..1..1..1. .1..0..0..1. .1..1..0..0
%e A302208 ..0..0..1..1. .0..1..0..0. .0..0..1..0. .0..0..1..1. .1..1..0..0
%e A302208 ..0..0..1..1. .0..1..0..0. .0..0..1..0. .0..0..1..1. .1..1..0..0
%Y A302208 Cf. A302212.
%K A302208 nonn
%O A302208 1,2
%A A302208 _R. H. Hardin_, Apr 03 2018