cp's OEIS Frontend

A208289 Number of 5 X n 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 1 1 0 vertically.

%I A208289 #8 Jun 30 2018 14:24:30
%S A208289 10,100,390,2090,9900,49130,239490,1175440,5754050,28195750,138110340,
%T A208289 676601470,3314477450,16237031560,79541647910,389658289890,
%U A208289 1908854053840,9351079145150,45808984336150,224408665354600,1099331244406030
%N A208289 Number of 5 X n 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 1 1 0 vertically.
%C A208289 Row 5 of A208287.
%H A208289 R. H. Hardin, <a href="/A208289/b208289.txt">Table of n, a(n) for n = 1..210</a>
%F A208289 Empirical: a(n) = 3*a(n-1) + 10*a(n-2) - 2*a(n-3) - 7*a(n-4) + a(n-6).
%F A208289 Empirical g.f.: 10*x*(1 + 7*x - x^2 - 6*x^3 + x^5) / (1 - 3*x - 10*x^2 + 2*x^3 + 7*x^4 - x^6). - _Colin Barker_, Jun 30 2018
%e A208289 Some solutions for n=4:
%e A208289 ..0..1..0..0....1..0..1..0....0..1..0..1....0..1..0..0....1..1..1..1
%e A208289 ..1..1..1..0....0..1..1..0....1..0..1..1....1..1..1..1....1..1..1..1
%e A208289 ..1..1..0..0....1..1..1..0....1..0..1..1....0..1..1..1....1..1..1..1
%e A208289 ..1..1..1..0....1..1..1..0....1..0..1..1....1..1..1..1....1..1..1..1
%e A208289 ..1..1..1..0....1..1..1..0....1..0..1..1....1..1..1..1....1..1..1..1
%Y A208289 Cf. A208287.
%K A208289 nonn
%O A208289 1,1
%A A208289 _R. H. Hardin_, Feb 25 2012