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%I #8 Feb 20 2019 10:52:36
%S 0,0,30,412,4018,35472,296062,2378276,18602538,142686584,1078094998,
%T 8049085452,59514821186,436531302624,3180302488110,23036382105332,
%U 166033195371866,1191480270802248,8517590180994246,60683797705011932
%N Number of n X 2 0..2 arrays with no element unequal to more than four of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.
%H R. H. Hardin, <a href="/A282125/b282125.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 14*a(n-1) - 57*a(n-2) + 88*a(n-3) - 256*a(n-4) + 240*a(n-5) - 320*a(n-6) + 256*a(n-7) - 64*a(n-8).
%F Empirical g.f.: 2*x^3*(3 - 2*x + 4*x^2)*(5 + 2*x - 12*x^2) / (1 - 7*x + 4*x^2 - 16*x^3 + 8*x^4)^2. - _Colin Barker_, Feb 20 2019
%e Some solutions for n=4:
%e ..0..0. .0..1. .0..1. .0..1. .0..0. .0..0. .0..1. .0..0. .0..1. .0..0
%e ..0..1. .0..1. .0..1. .1..1. .1..2. .1..2. .0..2. .1..0. .0..2. .1..0
%e ..2..0. .2..1. .0..2. .1..0. .2..2. .2..2. .0..0. .2..1. .1..1. .0..0
%e ..1..2. .0..1. .0..1. .2..1. .2..0. .0..0. .0..2. .1..1. .2..2. .2..0
%Y Column 2 of A282130.
%K nonn
%O 1,3
%A _R. H. Hardin_, Feb 06 2017
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