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

%I #4 Mar 18 2018 08:30:30

%S 16,138,293,726,1649,3649,8035,17751,39436,88008,197077,442264,993792,

%T 2234792,5027626,11313294,25460611,57302948,128973323,290288905,

%U 653378578,1470622946,3310082320,7450351492,16769302128,37744471436

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

%C Column 5 of A301323.

%H R. H. Hardin, <a href="/A301320/b301320.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) -3*a(n-2) -4*a(n-3) +4*a(n-4) +2*a(n-6) -5*a(n-8) +2*a(n-9) +4*a(n-10) -2*a(n-11) -2*a(n-12) +a(n-14) for n>16

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A301323.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 18 2018