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%I #6 Jun 09 2023 08:14:18
%S 512,2423,7579,22901,72249,219706,616608,1656147,4391684,11530065,
%T 29828022,76080145,191906132,479966380,1193306087,2951733688,
%U 7264247735,17792959607,43422206773,105672171019,256535475334,621345009200
%N Number of (n+2) X (1+2) 0..1 arrays with every 3 X 3 subblock sum of the two sums of the diagonal and antidiagonal minus the two minimums of the central column and central row nondecreasing horizontally, vertically and ne-to-sw antidiagonally.
%C Column 1 of A254907.
%H R. H. Hardin, <a href="/A254900/b254900.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 7*a(n-1) -17*a(n-2) +17*a(n-3) +a(n-4) -50*a(n-5) +65*a(n-6) +89*a(n-7) -180*a(n-8) +167*a(n-9) +282*a(n-10) -1618*a(n-11) +638*a(n-12) +1824*a(n-13) -5732*a(n-14) +14128*a(n-15) -14024*a(n-16) +19140*a(n-17) -28304*a(n-18) +24392*a(n-19) -30824*a(n-20) -7456*a(n-21) +46368*a(n-22) -51936*a(n-23) +69856*a(n-24) -70176*a(n-25) +230336*a(n-26) -527488*a(n-27) +862080*a(n-28) -1031040*a(n-29) +885248*a(n-30) -749824*a(n-31) +744960*a(n-32) -1154048*a(n-33) +1763328*a(n-34) -1860608*a(n-35) +1447936*a(n-36) -688128*a(n-37) +45056*a(n-38) -90112*a(n-39) +385024*a(n-40) -655360*a(n-41) +655360*a(n-42) -163840*a(n-43) -65536*a(n-44) for n>50.
%e Some solutions for n=4
%e ..1..0..0....0..0..0....0..0..0....1..0..0....0..0..0....0..0..0....1..0..0
%e ..0..0..0....1..0..0....1..1..0....0..0..0....0..0..0....0..1..1....0..0..1
%e ..1..1..0....0..0..0....0..0..0....0..0..0....1..0..0....0..1..0....1..0..0
%e ..0..1..0....0..1..1....1..1..0....1..1..0....0..1..1....1..1..0....0..0..1
%e ..0..1..1....1..1..0....0..1..1....0..0..0....0..1..1....1..0..0....1..1..0
%e ..1..0..1....1..1..0....1..0..0....1..0..0....1..0..0....1..1..1....0..1..1
%Y Cf. A254907.
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 10 2015
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