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A282857 Number of nX3 0..1 arrays with no 1 equal to more than one of its horizontal, vertical and antidiagonal neighbors. 1

%I

%S 7,31,131,583,2562,11250,49471,217459,955873,4201865,18470437,

%T 81191949,356902120,1568863280,6896378669,30314967625,133257945179,

%U 585772685663,2574928188347,11318819287751,49755045854138,218712263620846

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

%C Column 3 of A282862.

%H R. H. Hardin, <a href="/A282857/b282857.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +9*a(n-2) +20*a(n-3) +23*a(n-4) +15*a(n-5) +5*a(n-6) -3*a(n-7) -8*a(n-8) -2*a(n-9) +a(n-11)

%e Some solutions for n=4

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

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

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

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

%Y Cf. A282862.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 23 2017

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Last modified July 17 16:58 EDT 2019. Contains 325107 sequences. (Running on oeis4.)