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%I #7 Dec 18 2018 11:48:43
%S 62,158,459,1285,3553,9978,27903,77798,217554,608257,1699201,4748763,
%T 13272520,37089779,103651288,289674102,809528613,2262327549,
%U 6322405953,17668817420,49377854351,137993195876,385640766218,1077725241459
%N Number of (n+2) X (2+2) 0..1 arrays with no 3 x 3 subblock diagonal sum 1 and no antidiagonal sum 1 and no row sum 0 or 1 and no column sum 0 or 1.
%H R. H. Hardin, <a href="/A255153/b255153.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) + 2*a(n-2) + 7*a(n-3) + 4*a(n-4) + a(n-6) - 6*a(n-8) - 6*a(n-9) - 3*a(n-10) - a(n-11).
%F Empirical g.f.: x*(62 + 96*x + 177*x^2 + 76*x^3 - 4*x^4 + 10*x^5 - 74*x^6 - 230*x^7 - 195*x^8 - 91*x^9 - 27*x^10) / (1 - x - 2*x^2 - 7*x^3 - 4*x^4 - x^6 + 6*x^8 + 6*x^9 + 3*x^10 + x^11). - _Colin Barker_, Dec 18 2018
%e Some solutions for n=4:
%e ..0..1..1..1....1..1..0..1....1..0..1..1....1..0..1..1....1..1..1..1
%e ..1..1..0..1....1..0..1..1....0..1..1..0....1..1..1..1....1..1..1..0
%e ..1..1..1..1....0..1..1..1....1..1..0..1....1..1..0..1....1..1..0..1
%e ..1..0..1..1....1..1..1..1....1..0..1..1....1..1..1..1....1..0..1..1
%e ..1..1..1..0....1..1..1..1....0..1..1..1....1..1..1..1....0..1..1..1
%e ..0..1..1..1....1..1..1..1....1..1..0..1....1..0..1..1....1..1..1..1
%Y Column 2 of A255159.
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 15 2015
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