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A231192 Number of (n+1) X (1+1) 0..2 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with values 0..2 introduced in row major order. 1

%I

%S 9,67,538,4264,33868,268936,2135636,16959144,134673104,1069443392,

%T 8492483984,67439085424,535535922336,4252707792768,33770887846016,

%U 268175694518400,2129591719896640,16911155582525312,134292024365242368

%N Number of (n+1) X (1+1) 0..2 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with values 0..2 introduced in row major order.

%H R. H. Hardin, <a href="/A231192/b231192.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) - 4*a(n-3) + 4*a(n-4) - 12*a(n-5) - 16*a(n-6).

%F Empirical g.f.: x*(9 - 5*x + 2*x^2 - 4*x^3 - 12*x^4 - 16*x^5) / (1 - 8*x + 4*x^3 - 4*x^4 + 12*x^5 + 16*x^6). - _Colin Barker_, Sep 27 2018

%e Some solutions for n=5:

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

%e ..2..2....2..2....2..2....1..0....1..0....2..2....0..1....2..0....1..2....1..2

%e ..0..0....0..0....2..0....2..0....0..0....0..2....0..0....2..0....2..0....1..2

%e ..2..1....2..1....0..2....1..2....2..1....2..0....2..2....0..2....1..0....1..0

%e ..0..0....1..0....2..0....2..2....2..2....0..2....0..0....0..2....0..2....0..1

%e ..2..2....2..2....1..0....1..0....0..0....0..2....1..1....1..0....0..2....2..1

%Y Column 1 of A231199.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 05 2013

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Last modified January 22 02:46 EST 2022. Contains 350481 sequences. (Running on oeis4.)