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%I #4 Jan 27 2015 08:12:30
%S 512,2616,10684,41140,150016,514920,1700100,5487356,17402796,54388900,
%T 168051612,514608380,1564152640,4724495088,14194815516,42456223192,
%U 126490940620,375582012308,1111890899408,3283117868720,9671825746548
%N Number of (n+2)X(1+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal minimum nondecreasing horizontally and vertically
%C Column 1 of A254242
%H R. H. Hardin, <a href="/A254235/b254235.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 8*a(n-1) -22*a(n-2) +21*a(n-3) +11*a(n-4) -62*a(n-5) +112*a(n-6) -36*a(n-7) -224*a(n-8) +374*a(n-9) -222*a(n-10) -293*a(n-11) +1161*a(n-12) -1391*a(n-13) +478*a(n-14) +769*a(n-15) -1984*a(n-16) +2012*a(n-17) -533*a(n-18) -789*a(n-19) +1431*a(n-20) -1120*a(n-21) +233*a(n-22) +300*a(n-23) -436*a(n-24) +229*a(n-25) -75*a(n-26) +35*a(n-27) +51*a(n-28) -55*a(n-29) +32*a(n-30) -7*a(n-31) -10*a(n-32) +5*a(n-33) -3*a(n-34) +a(n-36)
%e Some solutions for n=4
%e ..0..1..1....0..1..0....0..0..0....0..0..0....0..1..0....0..1..0....1..0..0
%e ..1..1..1....1..1..0....0..0..0....0..0..1....0..1..0....0..0..0....1..0..0
%e ..0..0..0....1..1..1....1..1..0....1..1..0....1..1..0....0..0..1....0..1..1
%e ..1..1..1....1..1..0....1..1..0....1..0..0....0..0..0....1..1..1....1..1..0
%e ..1..0..1....0..1..0....0..1..0....0..1..1....1..1..0....0..0..0....1..1..1
%e ..0..0..1....0..0..1....1..0..1....1..1..0....0..1..0....0..0..0....1..0..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 27 2015
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