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%I #4 Jan 29 2015 08:22:06
%S 512,2868,15051,72939,332330,1451174,6117882,25078442,100521610,
%T 395707664,1534522207,5877625474,22280410745,83725432325,312300575832,
%U 1157580371836,4267575709129,15660116804124,57235664688706
%N Number of (n+2)X(1+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and the central column and the two maximums of the diagonal and antidiagonal nondecreasing horizontally and vertically
%C Column 1 of A254361
%H R. H. Hardin, <a href="/A254354/b254354.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 8*a(n-1) -16*a(n-2) -10*a(n-3) +49*a(n-4) -134*a(n-5) +511*a(n-6) -823*a(n-7) +1122*a(n-8) -1482*a(n-9) +467*a(n-10) +329*a(n-11) -2184*a(n-12) +2463*a(n-13) -1910*a(n-14) +2072*a(n-15) +52*a(n-16) +877*a(n-17) -2244*a(n-18) +480*a(n-19) +3226*a(n-20) -3604*a(n-21) -568*a(n-22) +944*a(n-23) +1272*a(n-24) -1120*a(n-25) +224*a(n-26) for n>27
%e Some solutions for n=4
%e ..1..1..0....0..1..1....0..0..0....0..0..0....0..0..0....1..1..0....0..0..0
%e ..1..0..0....0..0..0....0..1..0....0..0..1....0..0..0....0..0..0....0..1..1
%e ..0..0..0....0..1..0....0..0..0....1..1..0....1..1..0....1..1..1....1..0..1
%e ..1..0..1....1..0..0....1..1..0....0..1..1....1..0..1....1..0..0....1..1..0
%e ..0..0..1....0..1..1....1..0..0....1..1..1....1..1..0....1..1..1....1..0..1
%e ..1..0..0....1..0..0....1..1..0....1..0..0....0..1..1....1..0..0....0..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 29 2015
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