%I #10 Feb 20 2019 10:42:34
%S 2,14,91,600,4039,27212,183195,1233336,8303647,55905604,376392451,
%T 2534116400,17061305479,114867707132,773363450795,5206781283496,
%U 35055408051567,236015604782644,1589009194201811,10698234218839200
%N Number of n X 2 0..2 arrays with no element unequal to more than four of its king-move neighbors and with new values introduced in order 0 sequentially upwards.
%H R. H. Hardin, <a href="/A282051/b282051.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 8*a(n-1) - 11*a(n-2) + 20*a(n-3) - 24*a(n-4) + 8*a(n-5).
%F Empirical g.f.: x*(1 - 2*x)*(2 + 2*x + 5*x^2 - 4*x^3) / ((1 - x)*(1 - 7*x + 4*x^2 - 16*x^3 + 8*x^4)). - _Colin Barker_, Feb 20 2019
%e Some solutions for n=4:
%e ..0..1. .0..0. .0..0. .0..0. .0..1. .0..1. .0..1. .0..1. .0..1. .0..1
%e ..1..0. .1..0. .1..0. .1..0. .2..2. .0..1. .2..1. .0..2. .1..2. .1..0
%e ..1..0. .0..1. .0..1. .1..2. .1..2. .0..0. .2..2. .2..2. .1..2. .2..1
%e ..0..1. .2..2. .0..2. .2..2. .1..1. .1..2. .0..1. .1..0. .0..1. .1..2
%Y Column 2 of A282056.
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 05 2017