cp's OEIS Frontend

A207458 Number of 7 X n 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 1 0 1 vertically.

%I A207458 #11 Jun 23 2018 07:21:19
%S A207458 14,196,546,3850,14896,84266,370734,1922564,8935850,44655394,
%T A207458 212625504,1045480786,5031607126,24563900900,118782802866,
%U A207458 578049254426,2801168057744,13612500276634,66026807997150,320661548440324
%N A207458 Number of 7 X n 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 1 0 1 vertically.
%C A207458 Row 7 of A207453.
%H A207458 R. H. Hardin, <a href="/A207458/b207458.txt">Table of n, a(n) for n = 1..210</a>
%F A207458 Empirical: a(n) = a(n-1) + 19*a(n-2) + 6*a(n-3) - 36*a(n-4).
%F A207458 Empirical g.f.: 14*x*(1 + 13*x + 6*x^2 - 36*x^3) / ((1 + 2*x - 4*x^2)*(1 - 3*x - 9*x^2)). - _Colin Barker_, Jun 23 2018
%e A207458 Some solutions for n=5:
%e A207458   0 1 0 1 0     1 0 1 1 0     1 1 0 1 0     1 1 0 1 1
%e A207458   0 1 1 1 0     0 1 0 1 0     0 1 0 1 1     1 0 1 0 1
%e A207458   0 1 0 1 0     0 1 0 1 0     0 1 0 1 1     1 0 1 0 1
%e A207458   0 1 0 1 0     0 1 0 1 0     0 1 0 1 1     1 0 1 0 0
%e A207458   0 1 0 1 0     0 1 0 1 0     0 1 0 1 1     1 0 1 0 0
%e A207458   0 1 0 1 0     0 1 0 1 0     0 1 0 1 1     1 0 1 0 0
%e A207458   0 1 0 1 0     0 1 0 1 0     0 1 0 1 1     1 0 1 0 0
%Y A207458 Cf. A207453.
%K A207458 nonn
%O A207458 1,1
%A A207458 _R. H. Hardin_, Feb 17 2012