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%I A303406 #4 Apr 23 2018 10:39:06
%S A303406 1,7,28,119,541,2327,10384,47491,208616,938105,4229023,18855226,
%T A303406 84609455,379973132,1700940358,7627893865,34215621269,153337948168,
%U A303406 687522535009,3082887354405,13820286385598,61963243406462,277818915171978
%N A303406 Number of nX3 0..1 arrays with every element equal to 1, 2, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
%C A303406 Column 3 of A303410.
%H A303406 R. H. Hardin, <a href="/A303406/b303406.txt">Table of n, a(n) for n = 1..210</a>
%F A303406 Empirical: a(n) = 2*a(n-1) +7*a(n-2) +35*a(n-3) -36*a(n-4) -151*a(n-5) -97*a(n-6) +34*a(n-7) +258*a(n-8) -724*a(n-9) +256*a(n-10) +1584*a(n-11) -240*a(n-12) -512*a(n-13) -304*a(n-14) +1728*a(n-15) -1344*a(n-16) -1792*a(n-17) +1024*a(n-18)
%e A303406 Some solutions for n=5
%e A303406 ..0..1..1. .0..1..0. .0..1..0. .0..0..0. .0..1..0. .0..0..1. .0..0..0
%e A303406 ..1..0..0. .0..0..1. .1..0..1. .0..1..0. .0..0..1. .0..1..1. .1..0..1
%e A303406 ..1..0..1. .0..0..0. .0..1..0. .1..0..0. .1..0..0. .0..1..0. .0..1..0
%e A303406 ..1..1..1. .1..1..0. .1..0..1. .1..1..0. .1..1..1. .0..0..0. .1..0..1
%e A303406 ..0..0..0. .0..0..1. .1..1..1. .1..0..1. .0..0..1. .0..0..0. .0..0..0
%Y A303406 Cf. A303410.
%K A303406 nonn
%O A303406 1,2
%A A303406 _R. H. Hardin_, Apr 23 2018

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