A279574 - OEIS

%I #8 Feb 11 2019 05:20:16

%S 0,4,40,352,3008,25280,209792,1723392,14039040,113562624,913131520,

%T 7304519680,58170228736,461421658112,3647369216000,28741570396160,

%U 225854805245952,1770332698705920,13844879799484416,108048964894326784

%N Number of n X 2 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

%H R. H. Hardin, <a href="/A279574/b279574.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 16*a(n-1) - 72*a(n-2) + 64*a(n-3) - 16*a(n-4).

%F Empirical g.f.: 4*x^2*(1 - 6*x) / (1 - 8*x + 4*x^2)^2. - _Colin Barker_, Feb 11 2019

%e Some solutions for n=4:

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

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

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

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

%Y Column 2 of A279580.

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 15 2016