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%I #7 Dec 27 2023 17:48:29
%S 2554,9492,33778,87907,196724,407885,794663,1460513,2583757,4473909,
%T 7580232,12566584,20578851,33488585,53933411,86021960,136821479,
%U 217262237,342983060,539386487,849243443,1336448972,2095677481
%N Number of (n+2) X (2+2) 0..1 arrays with every 3 X 3 subblock sum of the two sums of the central row and central column minus the two minimums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally.
%C Column 2 of A255036.
%H R. H. Hardin, <a href="/A255030/b255030.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-1) -a(n-2) -2*a(n-3) +2*a(n-4) -11*a(n-5) +8*a(n-6) +15*a(n-7) -15*a(n-8) +7*a(n-9) +5*a(n-10) -7*a(n-11) -14*a(n-12) -20*a(n-13) +24*a(n-14) +35*a(n-15) -26*a(n-16) -51*a(n-17) +76*a(n-18) +70*a(n-19) -105*a(n-20) -92*a(n-21) +107*a(n-22) +85*a(n-23) -137*a(n-24) -60*a(n-25) +141*a(n-26) +48*a(n-27) -108*a(n-28) -16*a(n-29) +72*a(n-30) -8*a(n-31) -44*a(n-32) +4*a(n-33) +20*a(n-34) -4*a(n-36) for n>42.
%e Some solutions for n=4
%e ..1..0..0..0....0..0..1..0....1..0..0..0....0..1..1..0....0..0..0..0
%e ..1..1..0..0....1..0..0..0....0..0..0..0....0..0..0..0....0..0..1..0
%e ..0..0..1..1....1..0..0..1....1..0..0..0....0..1..1..0....1..0..0..0
%e ..0..1..1..0....0..0..1..1....0..0..1..0....1..1..1..0....1..1..1..0
%e ..0..1..1..1....0..1..0..1....1..1..0..1....1..0..1..1....1..1..1..1
%e ..0..0..0..0....0..0..1..1....0..1..1..0....0..1..1..1....1..1..1..1
%Y Cf. A255036.
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 13 2015
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