|
%I #8 Jun 26 2018 14:08:11
%S 13,169,741,4823,26845,158847,917293,5349227,31070195,180762387,
%T 1050937017,6111802359,35539343255,206667375733,1201779520773,
%U 6988465966781,40638445631355,236315996095075,1374196381175527
%N Number of 5 X n 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 0 and 1 0 1 vertically.
%C Row 5 of A208028.
%H R. H. Hardin, <a href="/A208030/b208030.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-1) + 19*a(n-2) - 9*a(n-3) - 42*a(n-4) + 31*a(n-5) + 3*a(n-6) - 4*a(n-7).
%F Empirical g.f.: 13*x*(1 + 10*x - x^2 - 38*x^3 + 28*x^4 + 3*x^5 - 4*x^6) / ((1 - x)*(1 - 2*x - 21*x^2 - 12*x^3 + 30*x^4 - x^5 - 4*x^6)). - _Colin Barker_, Jun 26 2018
%e Some solutions for n=4:
%e ..0..1..1..0....0..1..1..0....1..1..1..0....0..1..1..1....0..1..0..0
%e ..1..0..1..0....0..1..0..1....0..1..0..0....1..0..1..0....1..1..1..0
%e ..1..0..1..1....1..1..0..1....0..1..0..1....1..0..1..0....1..1..0..1
%e ..1..1..1..1....1..0..1..0....1..0..1..0....0..1..0..1....1..1..0..0
%e ..1..1..1..1....1..0..1..0....1..0..1..0....0..1..0..0....1..1..1..0
%Y Cf. A208028.
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 22 2012
| 