%I #4 Apr 04 2014 08:43:37
%S 8,78,722,6376,55680,483926,4195892,36331704,314419494,2720368268,
%T 23533966824,203581060386,1761035569834,15233285577406,
%U 131769992524528,1139825195601708,9859602783973302,85286505357091706,737736199939312976
%N Number of nX3 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of elements above it or three plus the sum of the elements diagonally to its northwest, modulo 4
%C Column 3 of A240347
%H R. H. Hardin, <a href="/A240343/b240343.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 18*a(n-1) -105*a(n-2) +200*a(n-3) +242*a(n-4) -2119*a(n-5) +7083*a(n-6) -9004*a(n-7) -24192*a(n-8) +72426*a(n-9) -3118*a(n-10) -103236*a(n-11) -4239*a(n-12) +64281*a(n-13) +119026*a(n-14) -161710*a(n-15) +142844*a(n-16) -25892*a(n-17) -337024*a(n-18) +223288*a(n-19) +175280*a(n-20) -145120*a(n-21) -22528*a(n-22) +23040*a(n-23)
%e Some solutions for n=4
%e ..2..2..0....2..0..0....0..2..2....0..0..0....0..0..2....0..0..0....0..2..0
%e ..2..2..0....0..0..0....0..2..0....0..2..0....2..2..0....0..2..0....0..2..0
%e ..0..2..2....2..0..2....0..0..2....0..0..2....0..0..0....0..2..2....0..0..3
%e ..0..0..2....2..2..0....2..0..0....0..2..1....2..0..0....2..0..0....0..0..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Apr 04 2014
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