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%I #5 Feb 09 2017 09:32:42
%S 0,0,240,9506,329630,10549476,322266792,9542402912,276273058272,
%T 7864096497640,220899600335616,6139162615626000,169129648593328224,
%U 4625418051157950944,125714397554778912064,3398615150805414408480
%N Number of nX3 0..2 arrays with no element equal 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.
%C Column 3 of A282230.
%H R. H. Hardin, <a href="/A282227/b282227.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 44*a(n-1) -320*a(n-2) -3556*a(n-3) -10716*a(n-4) +50424*a(n-5) +405964*a(n-6) +817056*a(n-7) -2493088*a(n-8) -15933280*a(n-9) -25854848*a(n-10) +44982016*a(n-11) +245905088*a(n-12) +342215168*a(n-13) -181768192*a(n-14) -1149643776*a(n-15) -1772187648*a(n-16) -1392648192*a(n-17) -622891008*a(n-18) -101744640*a(n-19) -5308416*a(n-20) for n>21
%e Some solutions for n=4
%e ..0..1..0. .0..1..0. .0..0..1. .0..0..0. .0..1..0. .0..0..1. .0..1..0
%e ..0..0..2. .0..2..0. .2..2..0. .1..0..2. .2..1..1. .2..0..2. .2..0..0
%e ..0..2..0. .0..0..1. .2..2..2. .0..0..0. .2..2..2. .2..2..2. .2..0..1
%e ..2..0..1. .1..0..0. .2..0..0. .1..1..0. .1..2..2. .0..1..2. .0..0..0
%Y Cf. A282230.
%K nonn
%O 1,3
%A _R. H. Hardin_, Feb 09 2017