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%I #8 Feb 23 2019 07:24:08
%S 1,1,5,10,18,32,62,118,227,439,839,1592,3037,5823,11144,21287,40672,
%T 77755,148635,284114,543117,1038203,1984469,3793276,7251035,13860645,
%U 26494780,50645098,96809194,185052813,353731968,676165670,1292504296
%N Number of n X 6 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 3 or 6 neighboring 1s.
%H R. H. Hardin, <a href="/A296552/b296552.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) + 4*a(n-4) + a(n-5) + 3*a(n-6) + 6*a(n-7) + 2*a(n-9) + 4*a(n-10) + a(n-13).
%F Empirical g.f.: x*(1 + 4*x^2 + 5*x^3 + 4*x^4 + 9*x^5 + 6*x^6 + 2*x^7 + 6*x^8 + 4*x^9 + x^11 + x^12) / (1 - x - 4*x^4 - x^5 - 3*x^6 - 6*x^7 - 2*x^9 - 4*x^10 - x^13). - _Colin Barker_, Feb 23 2019
%e Some solutions for n=7:
%e ..0..0..1..1..0..0. .0..0..0..0..0..0. .0..1..1..0..0..0. .0..0..1..1..0..0
%e ..0..1..1..1..0..0. .0..0..1..1..0..0. .1..1..1..0..0..0. .0..1..1..1..0..0
%e ..0..1..1..0..0..0. .0..1..1..1..0..0. .1..1..0..0..0..0. .0..1..1..0..1..1
%e ..0..0..0..0..0..0. .0..1..1..0..0..0. .0..0..0..1..1..0. .0..0..0..1..1..1
%e ..0..0..0..0..0..0. .0..0..0..1..1..0. .0..0..1..1..1..0. .0..0..0..1..1..0
%e ..0..0..0..0..0..0. .0..0..1..1..1..0. .0..0..1..1..0..0. .0..0..0..0..0..0
%e ..0..0..0..0..0..0. .0..0..1..1..0..0. .0..0..0..0..0..0. .0..0..0..0..0..0
%Y Column 6 of A296554.
%K nonn
%O 1,3
%A _R. H. Hardin_, Dec 15 2017
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