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%I #7 Dec 19 2018 09:04:17
%S 90,177,361,715,1478,2969,6186,12534,26219,53487,112079,229756,481725,
%T 990964,2077526,4284777,8978859,18554317,38857870,80416809,168307678,
%U 348718298,729394343,1512628937,3162067127,6562395892,13711273601
%N Number of (n+2) X (1+2) 0..1 arrays with no 3 x 3 subblock diagonal sum 2 and no antidiagonal sum 2 and no row sum 0 and no column sum 0.
%H R. H. Hardin, <a href="/A255785/b255785.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) + 5*a(n-2) - 2*a(n-3) - 6*a(n-4) - 7*a(n-5) + 6*a(n-6) + 3*a(n-7) - 6*a(n-8) + 5*a(n-9) + 5*a(n-10) + 5*a(n-11) + 2*a(n-12).
%F Empirical g.f.: x*(90 + 87*x - 266*x^2 - 351*x^3 - 148*x^4 + 330*x^5 + 122*x^6 - 56*x^7 + 409*x^8 + 369*x^9 + 282*x^10 + 88*x^11) / ((1 + x)*(1 - 2*x - 3*x^2 + 5*x^3 + x^4 + 6*x^5 - 12*x^6 + 9*x^7 - 3*x^8 - 2*x^9 - 3*x^10 - 2*x^11)). - _Colin Barker_, Dec 19 2018
%e Some solutions for n=4:
%e ..1..1..1....1..1..1....1..0..0....1..1..0....1..1..1....0..1..1....1..0..1
%e ..0..1..1....1..1..0....1..0..1....0..1..0....1..0..1....1..0..0....0..1..0
%e ..1..0..1....1..0..1....0..1..0....0..0..1....0..1..0....0..1..0....1..0..1
%e ..0..1..0....1..1..0....1..0..1....1..0..1....1..0..1....0..0..1....0..1..0
%e ..1..0..1....1..0..1....1..1..0....0..1..1....1..0..1....1..0..1....1..0..1
%e ..1..0..0....1..0..0....1..0..1....1..0..1....0..1..0....0..1..0....0..0..1
%Y Column 1 of A255792.
%K nonn
%O 1,1
%A _R. H. Hardin_, Mar 06 2015
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