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%I #4 Mar 05 2015 14:07:17
%S 2485,7765,20730,46367,86062,156658,290525,531182,940860,1668674,
%T 3031160,5597085,10094701,18262539,34114081,65352635,121376088,
%U 225653362,436223139,868777357,1663472667,3171906522,6300155508,12902328159
%N Number of (n+2)X(2+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, vertically and ne-to-sw antidiagonally
%C Column 2 of A255756
%H R. H. Hardin, <a href="/A255750/b255750.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 2*a(n-1) -2*a(n-2) +4*a(n-3) +19*a(n-4) -40*a(n-5) +39*a(n-6) -84*a(n-7) -52*a(n-8) +164*a(n-9) -175*a(n-10) +408*a(n-11) -34*a(n-12) -164*a(n-13) +302*a(n-14) -726*a(n-15) +229*a(n-16) +2*a(n-17) -517*a(n-18) +772*a(n-19) -820*a(n-20) +66*a(n-21) +346*a(n-22) -890*a(n-23) +1546*a(n-24) -306*a(n-25) +883*a(n-26) +806*a(n-27) -862*a(n-28) +562*a(n-29) -1410*a(n-30) -268*a(n-31) -390*a(n-32) -338*a(n-33) +471*a(n-34) -46*a(n-35) +397*a(n-36) +48*a(n-37) +83*a(n-38) +24*a(n-39) -28*a(n-40) +4*a(n-41) -20*a(n-42) -4*a(n-44) for n>53
%e Some solutions for n=4
%e ..0..0..1..1....0..1..0..1....1..0..0..1....1..0..1..1....1..1..0..0
%e ..1..0..0..1....1..1..1..1....1..1..1..0....1..1..1..0....0..0..1..1
%e ..0..1..1..0....1..1..1..0....0..1..0..0....0..1..1..1....1..0..0..1
%e ..0..0..0..1....1..0..1..0....0..0..0..1....1..1..0..1....0..1..1..0
%e ..0..0..0..1....0..0..0..0....0..0..0..0....0..0..0..0....1..1..0..0
%e ..0..1..1..1....0..1..0..1....0..0..0..0....1..1..0..0....1..0..1..1
%Y Cf. A255756
%K nonn
%O 1,1
%A _R. H. Hardin_, Mar 05 2015
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