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%I #4 Feb 14 2015 11:56:22
%S 419,1475,6110,25413,106848,454332,1933924,8248373,35227773,150417081,
%T 642360601,2744199183,11723677708,50083292461,213960360261,
%U 914078793470,3905115873457,16683360703840,71274426314113,304497975802593
%N Number of (n+2)X(4+2) 0..1 arrays with no 3x3 subblock diagonal sum 1 and no antidiagonal sum 1 and no row sum 1 and no column sum 1
%C Column 4 of A255101
%H R. H. Hardin, <a href="/A255097/b255097.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 5*a(n-1) -4*a(n-2) +14*a(n-3) -23*a(n-4) -91*a(n-5) -13*a(n-6) -118*a(n-7) +815*a(n-8) +1080*a(n-9) -692*a(n-10) -2103*a(n-11) -5420*a(n-12) +2379*a(n-13) +8473*a(n-14) +4179*a(n-15) +8147*a(n-16) -18588*a(n-17) -30186*a(n-18) +2771*a(n-19) +28308*a(n-20) +32734*a(n-21) +6559*a(n-22) -23299*a(n-23) -16727*a(n-24) -666*a(n-25) +7553*a(n-26) -5973*a(n-27) -14481*a(n-28) +7873*a(n-29) +34754*a(n-30) +25934*a(n-31) -15978*a(n-32) -45920*a(n-33) -43974*a(n-34) -14735*a(n-35) +6402*a(n-36) +15091*a(n-37) +14803*a(n-38) +11460*a(n-39) +9120*a(n-40) +5581*a(n-41) +3303*a(n-42) +1366*a(n-43) +342*a(n-44) +18*a(n-45) -72*a(n-46) for n>50
%e Some solutions for n=4
%e ..1..1..1..1..0..1....1..1..1..1..1..0....1..1..1..0..1..1....0..1..1..1..1..1
%e ..1..1..1..0..1..1....0..1..1..1..1..1....1..0..1..1..1..1....1..1..1..1..1..1
%e ..1..1..0..1..1..1....1..1..1..1..1..1....1..1..1..1..0..1....1..1..1..1..0..1
%e ..1..0..1..1..1..1....1..1..1..1..1..1....1..1..1..1..1..1....1..1..1..1..1..1
%e ..0..1..1..1..1..1....1..1..0..1..1..0....0..1..1..1..1..1....0..1..1..1..1..0
%e ..1..1..0..1..1..0....0..1..1..1..0..1....1..1..1..1..1..1....1..1..1..0..1..1
%Y Cf. A255101
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 14 2015
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