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Number of nX4 0..1 arrays with no 1 equal to more than three of its king-move neighbors.
1

%I #4 Feb 14 2017 07:53:02

%S 16,213,2048,23773,266425,2966724,33295509,372745151,4173376213,

%T 46739417550,523384918422,5860963933056,65632659610425,

%U 734967860658205,8230333458750528,92165106111769481,1032085136849026696

%N Number of nX4 0..1 arrays with no 1 equal to more than three of its king-move neighbors.

%C Column 4 of A282399.

%H R. H. Hardin, <a href="/A282395/b282395.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) +24*a(n-2) +155*a(n-3) -251*a(n-4) +195*a(n-5) -2577*a(n-6) +337*a(n-7) -4734*a(n-8) -38*a(n-9) -1066*a(n-10) -1924*a(n-11) +101*a(n-12) -437*a(n-13) +447*a(n-14) +128*a(n-15) +67*a(n-16) +34*a(n-17)

%e Some solutions for n=4

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

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

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

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

%Y Cf. A282399.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 14 2017