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%I #4 Mar 05 2015 14:14:42
%S 30182,46367,71651,118925,203503,371616,619142,1072628,1797116,
%T 2967765,5071867,8405698,14522330,23891246,44755522,79091985,
%U 151022450,262118115,546460339,1023817596,2086472417,3735441860,8131658798,15548790150
%N Number of (4+2)X(n+2) 0..1 arrays with every 3X3 subblock sum of the medians of the diagonal and antidiagonal minus the two sums of the central row and column nondecreasing horizontally, vertically and ne-to-sw antidiagonally
%C Row 4 of A255756
%H R. H. Hardin, <a href="/A255759/b255759.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 6*a(n-1) -17*a(n-2) +33*a(n-3) -30*a(n-4) -61*a(n-5) +285*a(n-6) -618*a(n-7) +911*a(n-8) -784*a(n-9) +7*a(n-10) +1268*a(n-11) -2683*a(n-12) +3502*a(n-13) -3369*a(n-14) +2710*a(n-15) -1886*a(n-16) +1406*a(n-17) -1314*a(n-18) +891*a(n-19) +13*a(n-20) -1337*a(n-21) +2744*a(n-22) -3452*a(n-23) +3356*a(n-24) -2668*a(n-25) +1664*a(n-26) -832*a(n-27) +320*a(n-28) -64*a(n-29) for n>53
%e Some solutions for n=4
%e ..0..1..1..1..1..1....0..1..0..1..0..0....0..1..0..0..0..1....0..1..1..0..1..0
%e ..1..1..1..1..1..1....0..0..1..1..0..1....0..1..1..1..1..0....1..1..1..1..1..0
%e ..1..1..1..1..1..1....1..0..1..0..1..1....0..1..1..1..1..0....0..1..1..1..0..0
%e ..0..1..1..1..0..0....1..1..0..0..1..1....1..0..0..0..0..0....1..1..0..0..1..1
%e ..1..1..0..0..1..1....0..1..0..1..0..1....1..0..0..0..0..0....0..1..1..0..0..1
%e ..1..0..0..0..0..0....1..1..1..1..0..0....0..1..1..1..1..0....1..0..0..1..1..0
%Y Cf. A255756
%K nonn
%O 1,1
%A _R. H. Hardin_, Mar 05 2015