%I #4 Jan 25 2015 10:37:24
%S 3436,37961,437412,5131608,60404379,708989540,8324567231,97709705091,
%T 1147050936946,13465223788702,158070944683856,1855595195609302,
%U 21782931509612040,255710529131800534,3001796532233949648
%N Number of (2+2)X(n+2) 0..1 arrays with every 3X3 subblock diagonal maximum minus antidiagonal maximum nondecreasing horizontally, vertically and ne-to-sw antidiagonally
%C Row 2 of A254092
%H R. H. Hardin, <a href="/A254093/b254093.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 13*a(n-1) +14*a(n-2) -370*a(n-3) +535*a(n-4) -2211*a(n-5) +28*a(n-6) +48312*a(n-7) -161056*a(n-8) +1516016*a(n-9) -379040*a(n-10) -19193248*a(n-11) +14433408*a(n-12) +16606720*a(n-13) +34860032*a(n-14) +140758528*a(n-15) -147872000*a(n-16) +159309056*a(n-17) -706368512*a(n-18) -1944000512*a(n-19) +404029440*a(n-20) +2386694144*a(n-21) +4369858560*a(n-22) +3792044032*a(n-23) +2777088000*a(n-24) -5816188928*a(n-25) -12009340928*a(n-26) -25561137152*a(n-27) -15623782400*a(n-28) +40869298176*a(n-29) +11760828416*a(n-30) +34292629504*a(n-31) +26306674688*a(n-32) -31138512896*a(n-33) -85899345920*a(n-35) -17179869184*a(n-36) +68719476736*a(n-37) for n>41
%e Some solutions for n=2
%e ..1..0..1..1....0..0..1..0....1..1..1..1....1..0..1..0....0..0..1..0
%e ..1..0..1..0....0..0..0..0....1..0..0..1....1..0..1..0....1..1..0..1
%e ..1..1..0..0....1..1..1..1....1..0..1..1....0..0..0..1....0..1..1..1
%e ..1..0..1..1....0..1..1..1....1..1..1..0....1..1..0..1....1..0..0..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 25 2015