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%I #4 Dec 02 2014 18:11:47
%S 1223,26633,618813,14434472,337561156,7891330499,184506926190,
%T 4313788353029,100857947002791,2358088130470091,55132839599212279,
%U 1289022728657810183,30137749824993417503,704629890796131084465
%N Number of (n+1)X(3+1) 0..2 arrays with no 2X2 subblock having the minimum of its diagonal elements less than the absolute difference of its antidiagonal elements
%C Column 3 of A251451
%H R. H. Hardin, <a href="/A251446/b251446.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 17*a(n-1) +201*a(n-2) -876*a(n-3) -8635*a(n-4) +13006*a(n-5) +131844*a(n-6) -111182*a(n-7) -931289*a(n-8) +1032555*a(n-9) +3304892*a(n-10) -7872203*a(n-11) -8207830*a(n-12) +24043132*a(n-13) +11303035*a(n-14) -30232428*a(n-15) -17085802*a(n-16) +10132677*a(n-17) +57114512*a(n-18) -18262991*a(n-19) -78796352*a(n-20) +63528530*a(n-21) +15506828*a(n-22) -32421339*a(n-23) +3367598*a(n-24) +9344702*a(n-25) -3285299*a(n-26) -1421443*a(n-27) +750598*a(n-28) -121690*a(n-29) -42594*a(n-30) +227931*a(n-31) -13269*a(n-32) -41504*a(n-33) -156*a(n-34) +1469*a(n-35) -24*a(n-36) for n>37
%e Some solutions for n=2
%e ..1..2..2..0....2..1..1..2....0..1..2..0....1..1..2..2....1..2..2..2
%e ..1..1..1..2....1..1..2..1....1..2..1..1....0..2..0..2....1..2..2..1
%e ..2..2..2..0....1..2..1..0....2..1..2..2....2..2..2..1....2..0..2..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 02 2014
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