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%I #4 Mar 26 2018 16:26:50
%S 32,2048,102544,5289488,272151040,14004742144,720677122368,
%T 37085631944448,1908405940870656,98205502293666304,
%U 5053600235887926528,260055442333825587456,13382307648283890182400,688646068647065495513344
%N Number of nX6 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally or vertically adjacent elements, with upper left element zero.
%C Column 6 of A301784.
%H R. H. Hardin, <a href="/A301782/b301782.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 43*a(n-1) +480*a(n-2) -1702*a(n-3) -30832*a(n-4) -11408*a(n-5) +814664*a(n-6) +1472112*a(n-7) -11834976*a(n-8) -36099456*a(n-9) +88414976*a(n-10) +486329344*a(n-11) -32384000*a(n-12) -2712928256*a(n-13) -1672069120*a(n-14) +2313256960*a(n-15) -301727744*a(n-16) -1018691584*a(n-17) +278921216*a(n-18) +973078528*a(n-19) -234881024*a(n-20)
%e Some solutions for n=5
%e ..0..0..0..0..1..1. .0..0..1..1..0..0. .0..0..1..1..0..0. .0..0..1..0..0..1
%e ..0..0..1..0..0..0. .0..0..1..0..0..0. .0..0..1..1..0..1. .0..0..1..0..1..1
%e ..0..0..1..1..0..1. .0..0..1..1..1..0. .0..0..1..1..1..1. .0..0..1..0..1..0
%e ..0..0..0..0..1..0. .0..0..1..1..0..0. .0..0..1..0..0..0. .0..0..1..1..0..1
%e ..0..1..0..0..1..1. .0..0..1..0..1..1. .0..0..0..1..1..0. .0..0..0..0..0..1
%Y Cf. A301784.
%K nonn
%O 1,1
%A _R. H. Hardin_, Mar 26 2018
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