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A232078 Number of (2+1) X (n+1) 0..1 arrays with every element equal to some horizontal, diagonal or antidiagonal neighbor, with top left element zero.

%I A232078 #7 Oct 03 2018 08:41:44
%S A232078 11,87,520,3681,26587,189404,1348429,9607995,68462448,487805049,
%T A232078 3475683907,24764857724,176453944877,1257264924795,8958230513184,
%U A232078 63828946109201,454792310901883,3240474086774308,23088939844648997
%N A232078 Number of (2+1) X (n+1) 0..1 arrays with every element equal to some horizontal, diagonal or antidiagonal neighbor, with top left element zero.
%H A232078 R. H. Hardin, <a href="/A232078/b232078.txt">Table of n, a(n) for n = 1..210</a>
%F A232078 Empirical: a(n) = 5*a(n-1) + 11*a(n-2) + 23*a(n-3) + 45*a(n-4) + 10*a(n-5) + a(n-6) - 3*a(n-7) - 2*a(n-8).
%F A232078 Empirical g.f.: x*(11 + 32*x - 36*x^2 - 129*x^3 - 34*x^4 - 7*x^5 + 8*x^6 + 6*x^7) / (1 - 5*x - 11*x^2 - 23*x^3 - 45*x^4 - 10*x^5 - x^6 + 3*x^7 + 2*x^8). - _Colin Barker_, Oct 03 2018
%e A232078 Some solutions for n=6:
%e A232078 ..0..0..1..0..0..0..0....0..0..0..1..1..1..1....0..0..0..0..0..0..0
%e A232078 ..0..1..1..0..1..1..1....0..0..1..1..1..0..1....0..1..1..1..0..1..0
%e A232078 ..1..0..0..1..1..1..1....0..1..0..1..0..1..0....1..0..0..0..1..1..1
%Y A232078 Row 2 of A232076.
%K A232078 nonn
%O A232078 1,1
%A A232078 _R. H. Hardin_, Nov 17 2013