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%I #6 Dec 01 2014 12:42:58
%S 2828,105897,4006992,151364054,5710752444,215399006284,8124335802103,
%T 306433731066598,11558110429274081,435950623916958443,
%U 16443253023275043557,620209134672305176025,23393142915841203895050
%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 maximum of its antidiagonal elements
%C Column 3 of A251019
%H R. H. Hardin, <a href="/A251014/b251014.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 81*a(n-1) -2545*a(n-2) +46634*a(n-3) -575454*a(n-4) +5121269*a(n-5) -34280905*a(n-6) +178058176*a(n-7) -735235201*a(n-8) +2458566817*a(n-9) -6748619328*a(n-10) +15343346079*a(n-11) -29013049660*a(n-12) +45529780609*a(n-13) -58540171146*a(n-14) +59456107143*a(n-15) -42639489590*a(n-16) +10808203829*a(n-17) +24134688192*a(n-18) -47157251900*a(n-19) +49631856893*a(n-20) -34867409096*a(n-21) +14669052928*a(n-22) -26310236*a(n-23) -5501665710*a(n-24) +4887029579*a(n-25) -2545562559*a(n-26) +878979581*a(n-27) -190430073*a(n-28) +17210302*a(n-29) +3205310*a(n-30) -1326243*a(n-31) +202275*a(n-32) -17010*a(n-33) +729*a(n-34)
%e Some solutions for n=2
%e ..1..1..1..1....1..2..1..1....2..1..1..0....2..0..2..2....0..2..2..1
%e ..1..1..1..0....1..2..2..2....2..0..0..0....0..2..2..0....1..2..2..1
%e ..1..1..1..2....0..2..1..0....1..0..2..2....0..2..1..1....0..1..0..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 29 2014
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