cp's OEIS Frontend

A231524 Number of 2 X n 0..1 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors.

%I A231524 #11 Sep 30 2018 02:44:44
%S A231524 4,10,34,107,342,1069,3381,10689,33808,106804,337525,1066772,3371763,
%T A231524 10656541,33680325,106448622,336438736,1063336915,3360744286,
%U A231524 10621851017,33571065345,106103576857,335347363656,1059887498352,3349844553061
%N A231524 Number of 2 X n 0..1 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors.
%H A231524 R. H. Hardin, <a href="/A231524/b231524.txt">Table of n, a(n) for n = 1..210</a>
%F A231524 Empirical: a(n) = 4*a(n-1) - 3*a(n-2) + a(n-3) + 6*a(n-4) - 18*a(n-5).
%F A231524 Empirical g.f.: x*(4 - 6*x + 6*x^2 - 3*x^3 - 18*x^4) / (1 - 4*x + 3*x^2 - x^3 - 6*x^4 + 18*x^5). - _Colin Barker_, Sep 29 2018
%e A231524 Some solutions for n=7:
%e A231524   0 1 0 0 0 0 1      1 0 0 0 0 0 1      0 0 0 1 0 0 0
%e A231524   1 0 0 1 0 1 1      1 0 0 1 0 0 1      0 0 1 0 0 1 0
%Y A231524 Row 2 of A231523.
%K A231524 nonn
%O A231524 1,1
%A A231524 _R. H. Hardin_, Nov 10 2013