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A303322 Number of nX5 0..1 arrays with every element equal to 0, 2, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%I A303322 #4 Apr 21 2018 13:11:26
%S A303322 1,32,4,12,64,62,204,744,900,2996,9564,14880,45124,129796,240124,
%T A303322 683372,1837592,3790988,10329636,26707488,59005404,155944784,
%U A303322 394374956,909596688,2353555396,5880643036,13932609908,35527598224,88215135628
%N A303322 Number of nX5 0..1 arrays with every element equal to 0, 2, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
%C A303322 Column 5 of A303325.
%H A303322 R. H. Hardin, <a href="/A303322/b303322.txt">Table of n, a(n) for n = 1..210</a>
%F A303322 Empirical: a(n) = 2*a(n-1) +2*a(n-2) +20*a(n-3) -44*a(n-4) -36*a(n-5) -124*a(n-6) +282*a(n-7) +212*a(n-8) +259*a(n-9) -333*a(n-10) -510*a(n-11) -408*a(n-12) -836*a(n-13) +476*a(n-14) +727*a(n-15) -2239*a(n-16) +1520*a(n-17) +5253*a(n-18) -1133*a(n-19) -2582*a(n-20) +3952*a(n-21) +2247*a(n-22) -5936*a(n-23) -2324*a(n-24) +2534*a(n-25) -1666*a(n-26) -1578*a(n-27) +920*a(n-28) +256*a(n-29) -96*a(n-30) +64*a(n-31) +32*a(n-32) +32*a(n-33) for n>35
%e A303322 Some solutions for n=5
%e A303322 ..0..1..0..0..0. .0..0..0..0..0. .0..0..1..0..0. .0..1..1..1..0
%e A303322 ..1..1..1..0..1. .1..0..1..0..1. .1..0..0..0..1. .0..1..1..1..0
%e A303322 ..1..0..1..0..1. .1..0..1..0..1. .1..0..1..0..1. .0..1..0..1..0
%e A303322 ..1..1..1..0..1. .1..0..1..0..1. .1..0..0..0..1. .0..1..1..1..0
%e A303322 ..1..1..1..0..1. .0..0..0..0..0. .1..0..0..0..1. .0..1..1..1..0
%Y A303322 Cf. A303325.
%K A303322 nonn
%O A303322 1,2
%A A303322 _R. H. Hardin_, Apr 21 2018