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%I #4 Apr 20 2015 13:53:11
%S 174724,145924,234256,622521,1196836,2433600,6012304,15547249,
%T 31606884,64818601,152028900,378341401,795240000,1701645001,
%U 3917508100,9407060100,20173089024,44278259776,100259623044,236166840900,512492764996
%N Number of (n+2)X(6+2) 0..1 arrays with no 3x3 subblock diagonal sum equal to the antidiagonal sum or central row sum less than the central column sum
%C Column 6 of A257361
%H R. H. Hardin, <a href="/A257359/b257359.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 4*a(n-2) +17*a(n-4) -57*a(n-6) +2*a(n-8) -60*a(n-10) -127*a(n-12) +598*a(n-14) -292*a(n-16) +315*a(n-18) +312*a(n-20) -1149*a(n-22) +223*a(n-26) -55*a(n-28) +127*a(n-30) +51*a(n-32) -32*a(n-34) -6*a(n-36) -5*a(n-38) -a(n-40) +a(n-42) for n>48
%e Some solutions for n=2
%e ..0..0..0..1..0..0..0..1....1..0..0..1..1..0..0..0....0..1..0..0..0..1..1..0
%e ..1..0..0..1..1..0..0..1....1..0..1..1..0..0..0..0....0..0..1..1..1..0..1..1
%e ..1..1..0..0..1..1..0..0....0..1..1..0..0..0..0..1....1..0..0..1..1..1..0..1
%e ..1..1..1..0..0..1..0..1....1..0..0..0..0..0..1..1....1..0..0..0..1..1..0..0
%Y Cf. A257361
%K nonn
%O 1,1
%A _R. H. Hardin_, Apr 20 2015
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