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%I #7 Dec 24 2018 07:45:48
%S 462,467,286,312,340,503,662,761,878,1493,2228,2576,3092,5504,8492,
%T 9836,11948,21548,33548,38876,47372,85724,133772,155036,189068,342428,
%U 534668,619676,755852,1369244,2138252,2478236,3022988,5476508,8552588,9912476
%N Number of (n+2) X (4+2) 0..1 arrays with no 3 X 3 subblock diagonal sum 0 and no antidiagonal sum 3 and no row sum 0 or 3 and no column sum 0 or 3.
%H R. H. Hardin, <a href="/A258962/b258962.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-2) + 4*a(n-4) - 4*a(n-6) for n>12.
%F Empirical g.f.: x*(462 + 467*x - 176*x^2 - 155*x^3 - 1794*x^4 - 1677*x^5 + 1026*x^6 + 878*x^7 - 32*x^9 + 62*x^10 + 51*x^11) / ((1 - x)*(1 + x)*(1 - 2*x^2)*(1 + 2*x^2)). - _Colin Barker_, Dec 24 2018
%e Some solutions for n=4:
%e ..1..0..0..1..0..1....0..1..0..1..0..0....1..0..1..0..1..1....1..0..1..0..1..0
%e ..0..1..1..0..0..1....0..1..1..0..0..1....0..1..0..1..0..0....0..0..1..0..1..1
%e ..1..0..0..1..1..0....1..0..0..1..1..0....0..1..0..1..0..1....1..1..0..1..0..0
%e ..0..1..1..0..0..1....0..1..1..0..0..1....1..0..1..0..1..0....0..1..0..1..0..1
%e ..1..0..0..1..1..0....1..0..0..1..1..0....0..0..1..0..1..1....1..0..1..0..1..0
%e ..1..0..1..0..1..0....0..1..1..0..1..0....1..1..0..1..0..0....1..0..1..0..1..1
%Y Column 4 of A258966.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jun 15 2015
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