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%I #4 Feb 01 2015 10:47:10
%S 358324,1612832,7796356,12136355,25591173,67038844,120967261,
%T 285405350,585731513,1260737905,2603678606,5360553840,10780475603,
%U 21384190928,41746688525,80276252173,152118285636,284380963038,524451363363
%N Number of (n+2)X(6+2) 0..1 arrays with every 3X3 subblock sum of the four sums of the central row, central column, diagonal and antidiagonal nondecreasing horizontally and vertically
%C Column 6 of A254568
%H R. H. Hardin, <a href="/A254566/b254566.txt">Table of n, a(n) for n = 1..210</a>
%H R. H. Hardin, <a href="/A254566/a254566.txt">polynomial of degree 24 plus a quasipolynomial of degree 13 with period 6</a>
%F Empirical: a(n) = 10*a(n-1) -44*a(n-2) +124*a(n-3) -305*a(n-4) +748*a(n-5) -1631*a(n-6) +3088*a(n-7) -5687*a(n-8) +10264*a(n-9) -16763*a(n-10) +25708*a(n-11) -39500*a(n-12) +57442*a(n-13) -76937*a(n-14) +102088*a(n-15) -133133*a(n-16) +159250*a(n-17) -183092*a(n-18) +212212*a(n-19) -227591*a(n-20) +223288*a(n-21) -221507*a(n-22) +207064*a(n-23) -159302*a(n-24) +111826*a(n-25) -69641*a(n-26) +69641*a(n-28) -111826*a(n-29) +159302*a(n-30) -207064*a(n-31) +221507*a(n-32) -223288*a(n-33) +227591*a(n-34) -212212*a(n-35) +183092*a(n-36) -159250*a(n-37) +133133*a(n-38) -102088*a(n-39) +76937*a(n-40) -57442*a(n-41) +39500*a(n-42) -25708*a(n-43) +16763*a(n-44) -10264*a(n-45) +5687*a(n-46) -3088*a(n-47) +1631*a(n-48) -748*a(n-49) +305*a(n-50) -124*a(n-51) +44*a(n-52) -10*a(n-53) +a(n-54) for n>70
%F polynomial of degree 24 plus a quasipolynomial of degree 13 with period 6 for n>16 (see link above)
%e Some solutions for n=1
%e ..0..0..0..0..0..0..0..0....0..0..0..0..0..1..1..1....0..0..0..1..0..0..1..1
%e ..1..1..1..1..1..1..1..1....0..0..0..1..1..1..1..0....0..1..1..1..1..1..1..0
%e ..1..0..0..1..0..0..1..0....0..1..0..1..1..0..0..1....0..0..0..1..0..1..1..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 01 2015
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