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%I #4 Nov 29 2014 07:45:15
%S 4459,260056,15156945,883387252,51487962431,3000977166321,
%T 174911850250602,10194729848690817,594199424464797450,
%U 34632890029684972761,2018576627576734108787,117652658998515320537660
%N Number of (n+1)X(3+1) 0..2 arrays with no 2X2 subblock having the sum of its diagonal elements less than the absolute difference of its antidiagonal elements
%C Column 3 of A250982
%H R. H. Hardin, <a href="/A250977/b250977.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 81*a(n-1) -1684*a(n-2) +25348*a(n-3) -291723*a(n-4) +2424044*a(n-5) -15158818*a(n-6) +72317084*a(n-7) -255573416*a(n-8) +577878414*a(n-9) -163185020*a(n-10) -5109887649*a(n-11) +25157774093*a(n-12) -71367808333*a(n-13) +137995625151*a(n-14) -181844817574*a(n-15) +136162696861*a(n-16) +29883755630*a(n-17) -265402122592*a(n-18) +470072312498*a(n-19) -567382408955*a(n-20) +541266269549*a(n-21) -424227412036*a(n-22) +271877339590*a(n-23) -139592889535*a(n-24) +56061838432*a(n-25) -16978905986*a(n-26) +3547582620*a(n-27) -264772260*a(n-28) -77711536*a(n-29) +18671292*a(n-30) -1409504*a(n-31) -189020*a(n-32) +74448*a(n-33) +960*a(n-34)
%e Some solutions for n=1
%e ..2..0..1..2....1..2..2..1....1..2..2..1....2..0..1..0....1..0..2..1
%e ..2..0..1..1....2..2..2..0....1..0..2..2....2..1..0..2....1..1..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 29 2014
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