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%I #8 Mar 05 2015 14:22:29
%S 8776,37642,131776,340387,638688,1102937,1795490,2870508,4430116,
%T 6683904,10055304,15093286,22291032,32547096,47859712,70745132,
%U 103395658,150104280,220329220,325793112,476694716,693576838,1021640120,1516194028
%N Number of (n+2)X(3+2) 0..1 arrays with every 3X3 subblock sum of the medians of the diagonal and antidiagonal minus the two sums of the central row and column nondecreasing horizontally and vertically
%C Column 3 of A254845
%H R. H. Hardin, <a href="/A254840/b254840.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 4*a(n-1) -5*a(n-2) +a(n-3) +11*a(n-4) -36*a(n-5) +40*a(n-6) -2*a(n-7) -42*a(n-8) +89*a(n-9) -70*a(n-10) -39*a(n-11) +62*a(n-12) -2*a(n-13) -80*a(n-14) +148*a(n-15) -13*a(n-16) -159*a(n-17) +155*a(n-18) -76*a(n-19) -57*a(n-20) +88*a(n-21) +40*a(n-22) -96*a(n-23) +56*a(n-24) +16*a(n-25) -80*a(n-26) +64*a(n-27) -16*a(n-28) for n>47
%e Some solutions for n=3
%e ..0..0..0..1..1....1..1..0..1..1....1..1..0..1..0....0..1..0..0..0
%e ..0..1..1..0..0....1..1..0..0..0....0..1..1..1..0....1..1..1..1..1
%e ..1..1..0..0..1....0..0..0..0..0....0..0..1..0..0....0..1..1..0..0
%e ..0..0..0..0..0....0..0..0..0..0....1..0..0..0..1....1..0..0..0..0
%e ..1..1..1..1..0....0..0..0..0..0....1..1..0..0..1....1..0..0..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 08 2015
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