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%I #4 Feb 10 2015 10:11:49
%S 14184,127758,1041262,6104373,34618330,191418723,1047501844,
%T 5778928560,32046146646,178170179340,996050870598,5580375681647,
%U 31328874895742,176042327547923,989868096940978,5567974126575840,31327430868788876
%N Number of (n+2)X(3+2) 0..1 arrays with every 3X3 subblock sum of the two maximums of the central row and central column plus the two minimums of the diagonal and antidiagonal nondecreasing horizontally and vertically
%C Column 3 of A254922
%H R. H. Hardin, <a href="/A254917/b254917.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 12*a(n-1) -38*a(n-2) -32*a(n-3) +379*a(n-4) -1168*a(n-5) +2072*a(n-6) +4756*a(n-7) -10786*a(n-8) -29864*a(n-9) -1812*a(n-10) +80000*a(n-11) -657762*a(n-12) +3299328*a(n-13) +2102472*a(n-14) -12998648*a(n-15) -116749*a(n-16) -30229796*a(n-17) -68744086*a(n-18) +148872448*a(n-19) +1158685607*a(n-20) -444634768*a(n-21) -3636584816*a(n-22) +624070596*a(n-23) -8066581456*a(n-24) +11290519264*a(n-25) +53521763936*a(n-26) -16292626368*a(n-27) -104210784704*a(n-28) -146719887872*a(n-29) +245882904832*a(n-30) +254599577600*a(n-31) -383082742784*a(n-32) +645842774016*a(n-33) -801745596416*a(n-34) -1232390627328*a(n-35) +2690572042240*a(n-36) -1429994373120*a(n-37) -125407264768*a(n-38) +2861540048896*a(n-39) -4771857039360*a(n-40) +1722833960960*a(n-41) +2003257262080*a(n-42) -3508692582400*a(n-43) +3703117447168*a(n-44) -1069874675712*a(n-45) -1947868332032*a(n-46) +2181642059776*a(n-47) -1265069195264*a(n-48) +267093278720*a(n-49) +576062488576*a(n-50) -541165879296*a(n-51) +137438953472*a(n-52) for n>59
%e Some solutions for n=2
%e ..0..0..1..0..1....1..0..1..1..1....0..0..0..1..0....0..1..0..0..0
%e ..0..0..1..1..0....1..0..1..1..1....0..1..1..1..0....1..1..1..1..0
%e ..1..0..0..1..0....1..0..0..1..0....1..0..0..1..0....1..1..0..0..1
%e ..1..0..1..1..1....0..0..1..0..1....1..1..0..1..1....0..0..0..0..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 10 2015
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