%I #4 Nov 30 2014 11:58:38
%S 3374,148833,6441563,280327551,12175291327,529076339144,
%T 22986742140730,998750677876750,43393991884910603,1885402066984177466,
%U 81917694336411656647,3559193740111874928140,154641296261630061509877
%N Number of (n+1)X(3+1) 0..2 arrays with no 2X2 subblock having the minimum of its diagonal elements greater than the absolute difference of its antidiagonal elements
%C Column 3 of A251158
%H R. H. Hardin, <a href="/A251153/b251153.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 41*a(n-1) +374*a(n-2) -11137*a(n-3) -43917*a(n-4) +951280*a(n-5) +2263876*a(n-6) -40034249*a(n-7) -50359104*a(n-8) +910438947*a(n-9) +326025243*a(n-10) -11493598836*a(n-11) +3575878139*a(n-12) +76798067297*a(n-13) -49959968631*a(n-14) -288074117355*a(n-15) +236004606406*a(n-16) +628148761942*a(n-17) -645102616147*a(n-18) -517231514411*a(n-19) +766300926808*a(n-20) -173888708937*a(n-21) -169536054835*a(n-22) +208505069033*a(n-23) -33672175492*a(n-24) -44398300500*a(n-25) +91080733749*a(n-26) -59835758002*a(n-27) -95630937412*a(n-28) +63893438960*a(n-29) +20635533088*a(n-30) -8099640060*a(n-31) +775817849*a(n-32) +8582552*a(n-33) -1036147776*a(n-34) -440219968*a(n-35) -83077760*a(n-36) -864000*a(n-37)
%e Some solutions for n=2
%e ..0..2..2..1....0..0..1..2....2..2..2..2....0..1..0..2....1..2..1..1
%e ..1..0..1..0....1..1..0..1....0..1..1..0....0..2..2..1....0..0..0..0
%e ..2..1..2..0....0..2..0..1....1..0..1..0....1..0..1..0....2..0..2..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 30 2014