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Number of nX5 binary arrays with some element plus some horizontally or vertically adjacent neighbor totalling two no more than once.
1

%I #4 Feb 12 2016 12:31:55

%S 23,244,2615,26334,255651,2425799,22577073,207252725,1880654551,

%T 16909709308,150867667407,1337324783132,11788337576943,

%U 103412756868981,903363696442081,7862056896605875,68198486775427551,589834799847933624

%N Number of nX5 binary arrays with some element plus some horizontally or vertically adjacent neighbor totalling two no more than once.

%C Column 5 of A268750.

%H R. H. Hardin, <a href="/A268747/b268747.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) +56*a(n-2) -288*a(n-3) -1506*a(n-4) +870*a(n-5) +7568*a(n-6) -1632*a(n-7) -15481*a(n-8) +4624*a(n-9) +13495*a(n-10) -6192*a(n-11) -4336*a(n-12) +2890*a(n-13) +82*a(n-14) -288*a(n-15) +24*a(n-16) +8*a(n-17) -a(n-18)

%e Some solutions for n=4

%e ..0..1..0..0..1. .1..0..0..0..0. .0..1..0..1..0. .0..0..0..1..0

%e ..1..0..0..1..0. .0..1..0..0..0. .0..0..0..0..1. .0..0..0..1..0

%e ..0..0..0..0..1. .0..0..0..0..1. .1..0..0..0..1. .0..0..0..0..1

%e ..1..0..1..1..0. .1..0..0..0..0. .0..0..0..0..0. .0..1..0..0..0

%Y Cf. A268750.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 12 2016