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A231125 Number of (n+1) X (2+1) white-square subarrays of 0..2 arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order.

%I A231125 #8 Sep 26 2018 14:33:40
%S A231125 2,8,40,176,808,3584,16368,72640,331648,1471872,6719936,29823488,
%T A231125 136161152,604291584,2758934016,12244319232,55902265856,248097701888,
%U A231125 1132706802688,5027022614528,22951211032576,101858889359360
%N A231125 Number of (n+1) X (2+1) white-square subarrays of 0..2 arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order.
%H A231125 R. H. Hardin, <a href="/A231125/b231125.txt">Table of n, a(n) for n = 1..210</a>
%F A231125 Empirical: a(n) = 22*a(n-2) - 36*a(n-4) + 16*a(n-6).
%F A231125 Empirical g.f.: 2*x*(1 + 4*x - 2*x^2) / (1 - 22*x^2 + 36*x^4 - 16*x^6). - _Colin Barker_, Sep 26 2018
%e A231125 Some solutions for n=5:
%e A231125 ..0..x..1....0..x..0....0..x..1....0..x..0....0..x..1....0..x..0....0..x..1
%e A231125 ..x..2..x....x..1..x....x..2..x....x..1..x....x..2..x....x..1..x....x..2..x
%e A231125 ..1..x..2....2..x..0....2..x..0....0..x..2....1..x..2....1..x..1....0..x..0
%e A231125 ..x..1..x....x..1..x....x..1..x....x..0..x....x..1..x....x..2..x....x..2..x
%e A231125 ..2..x..0....2..x..0....2..x..0....2..x..0....0..x..0....2..x..0....0..x..2
%e A231125 ..x..2..x....x..0..x....x..0..x....x..2..x....x..2..x....x..0..x....x..0..x
%Y A231125 Column 2 of A231131.
%K A231125 nonn
%O A231125 1,1
%A A231125 _R. H. Hardin_, Nov 04 2013