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%I #4 Apr 20 2015 13:51:15
%S 3108,6724,17056,45796,112236,234256,475608,1136356,2763008,5914624,
%T 12499644,29203216,68721712,150160516,325035968,747038224,1727481692,
%U 3815779984,8381071304,19092054276,43659093360,97078357476,215135035828
%N Number of (n+2)X(3+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 3 of A257361
%H R. H. Hardin, <a href="/A257356/b257356.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 2*a(n-3) +16*a(n-4) +8*a(n-5) +4*a(n-6) +2*a(n-7) +18*a(n-8) +6*a(n-9) -4*a(n-10) -18*a(n-11) -141*a(n-12) -60*a(n-13) +48*a(n-14) +18*a(n-15) -117*a(n-16) -66*a(n-17) +48*a(n-19) +279*a(n-20) +108*a(n-21) -12*a(n-22) -12*a(n-23) +15*a(n-24) +36*a(n-25) +16*a(n-26) -6*a(n-27) -36*a(n-28) -8*a(n-29) -4*a(n-30) -2*a(n-31) -a(n-32) -2*a(n-33) +a(n-36) for n>39
%e Some solutions for n=4
%e ..1..1..1..0..0....1..1..1..0..1....0..0..0..1..0....0..0..1..0..0
%e ..0..1..1..0..0....1..0..0..1..1....0..1..1..0..1....1..1..1..0..0
%e ..1..0..0..1..1....1..0..0..1..1....1..1..0..1..1....1..1..0..0..1
%e ..1..0..0..1..1....1..1..1..0..0....1..0..1..1..0....1..0..0..1..1
%e ..0..1..1..0..1....1..1..1..0..0....1..1..1..0..1....1..0..1..1..1
%e ..1..1..1..1..1....1..1..0..1..1....1..1..0..1..0....1..1..1..1..1
%Y Cf. A257361
%K nonn
%O 1,1
%A _R. H. Hardin_, Apr 20 2015
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