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%I #4 Feb 10 2015 10:11:10
%S 2812,19890,127758,705398,3788492,20154545,104789699,539308818,
%T 2760965456,14069458108,71431677779,361454282791,1824129053825,
%U 9186129195256,46175624546126,231738960398169,1161425292551641
%N Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock sum of the two maximums of the central row and central column plus the two minimums of the diagonal and antidiagonal nondecreasing horizontally and vertically
%C Column 2 of A254922
%H R. H. Hardin, <a href="/A254916/b254916.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 10*a(n-1) -19*a(n-2) -74*a(n-3) +257*a(n-4) -222*a(n-5) -127*a(n-6) +1310*a(n-7) +5707*a(n-8) -19034*a(n-9) -42452*a(n-10) +94264*a(n-11) +92763*a(n-12) -76114*a(n-13) -25411*a(n-14) -417498*a(n-15) -322268*a(n-16) +880868*a(n-17) +861164*a(n-18) +190524*a(n-19) -942038*a(n-20) -1632564*a(n-21) -76455*a(n-22) -316746*a(n-23) +1435863*a(n-24) +3277486*a(n-25) -886992*a(n-26) -811984*a(n-27) -1316853*a(n-28) -3598154*a(n-29) +730003*a(n-30) +2935906*a(n-31) +2403955*a(n-32) +102238*a(n-33) -2209317*a(n-34) -1258874*a(n-35) -669825*a(n-36) +1040078*a(n-37) +1511094*a(n-38) -443868*a(n-39) -672040*a(n-40) +29952*a(n-41) +138128*a(n-42) +26784*a(n-43) -15520*a(n-44) -4544*a(n-45) +384*a(n-46) +256*a(n-47) for n>52
%e Some solutions for n=3
%e ..1..1..1..1....1..1..0..0....1..0..1..1....1..1..0..1....1..1..1..1
%e ..0..0..0..1....0..0..0..0....1..0..1..0....0..0..1..0....0..0..0..0
%e ..1..1..0..0....1..1..1..1....0..0..1..0....0..0..1..0....1..0..1..1
%e ..0..1..1..0....0..0..1..1....1..0..1..1....1..1..0..0....1..0..0..1
%e ..0..0..1..1....0..1..0..0....0..0..1..1....0..1..0..0....0..0..0..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 10 2015
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