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%I #7 Mar 19 2018 06:57:31
%S 3,15,46,161,601,2208,8053,29415,107534,393061,1436589,5250624,
%T 19190841,70141747,256364934,937002409,3424702513,12517136672,
%U 45749581901,167212702063,611155044830,2233744710845,8164238313221,29839930638080
%N Number of (1+1) X (n+1) 0..1 arrays with every element equal to some horizontal, diagonal or antidiagonal neighbor, with top left element zero.
%C Row 1 of A232076.
%H R. H. Hardin, <a href="/A232077/b232077.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-1) + a(n-2) + 4*a(n-3) + 4*a(n-4).
%F Empirical g.f.: x*(1 + 2*x)*(3 - 2*x^2) / (1 - 3*x - x^2 - 4*x^3 - 4*x^4). - _Colin Barker_, Mar 19 2018
%e Some solutions for n=7:
%e ..0..1..0..1..0..1..0..0....0..0..1..0..0..0..0..1....0..1..0..0..1..1..1..1
%e ..1..0..1..0..1..1..0..0....0..1..0..1..1..1..1..0....1..0..0..0..1..0..0..1
%Y Cf. A232076.
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 17 2013
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