A283277 - OEIS

%I #4 Mar 04 2017 11:51:12

%S 8,50,287,1725,10299,61491,367208,2192810,13094522,78194882,466946550,

%T 2788405644,16651169555,99433684945,593775569480,3545774525272,

%U 21173853607285,126441225573015,755053086743011,4508855092288477

%N Number of nX3 0..1 arrays with no 1 equal to more than two of its horizontal, vertical and antidiagonal neighbors.

%C Column 3 of A283282.

%H R. H. Hardin, <a href="/A283277/b283277.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) +5*a(n-2) +6*a(n-3) -7*a(n-4) -a(n-5) -4*a(n-6) +11*a(n-7) -12*a(n-8) +7*a(n-9) -9*a(n-10) +6*a(n-11) -2*a(n-12)

%e Some solutions for n=4

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

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

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

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

%Y Cf. A283282.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 04 2017