cp's OEIS Frontend

A208559 Number of 7 X n 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 0 1 1 vertically.

%I A208559 #9 Jul 05 2018 07:03:45
%S A208559 20,400,1260,11020,52000,351140,1913940,11836400,67894220,407225740,
%T A208559 2378376000,14112662980,82952260180,490344818000,2888730695340,
%U A208559 17052623706380,100542287612000,593228737061860,3498693917381460
%N A208559 Number of 7 X n 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 0 1 1 vertically.
%C A208559 Row 7 of A208555.
%H A208559 R. H. Hardin, <a href="/A208559/b208559.txt">Table of n, a(n) for n = 1..210</a>
%F A208559 Empirical: a(n) = a(n-1) + 31*a(n-2) + 12*a(n-3) - 144*a(n-4).
%F A208559 Empirical g.f.: 20*x*(1 + 19*x + 12*x^2 - 144*x^3) / (1 - x - 31*x^2 - 12*x^3 + 144*x^4). - _Colin Barker_, Jul 05 2018
%e A208559 Some solutions for n=4:
%e A208559 ..0..1..0..0....0..1..1..1....0..1..0..1....0..1..0..1....1..1..0..1
%e A208559 ..1..1..0..1....1..0..1..0....0..1..0..0....0..1..1..0....1..0..1..1
%e A208559 ..0..1..0..0....0..1..1..1....0..1..0..0....0..1..0..0....1..1..0..0
%e A208559 ..0..1..0..0....1..0..1..0....0..1..0..0....0..1..1..0....1..0..1..1
%e A208559 ..0..1..0..0....0..1..1..1....0..1..0..0....0..1..0..0....0..1..0..0
%e A208559 ..0..1..0..0....1..0..1..0....0..1..0..0....0..1..1..0....1..0..1..1
%e A208559 ..0..1..0..0....0..1..0..0....0..1..0..0....0..1..0..0....0..1..0..0
%Y A208559 Cf. A208555.
%K A208559 nonn
%O A208559 1,1
%A A208559 _R. H. Hardin_, Feb 28 2012