cp's OEIS Frontend

A208014 Number of 4 X n 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 0 1 1 vertically.

%I A208014 #8 Jun 26 2018 11:18:23
%S A208014 9,81,225,841,2304,6084,18496,53824,150544,435600,1263376,3610000,
%T A208014 10368400,29899024,85895824,246741264,709902736,2041232400,5866947216,
%U A208014 16869853456,48507419536,139454446096,400947305616,1152814510864
%N A208014 Number of 4 X n 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 0 1 1 vertically.
%C A208014 Row 4 of A208013.
%H A208014 R. H. Hardin, <a href="/A208014/b208014.txt">Table of n, a(n) for n = 1..210</a>
%F A208014 Empirical: a(n) = a(n-1) + 2*a(n-2) + 10*a(n-3) + 4*a(n-4) - 8*a(n-5) - 16*a(n-6) for n>8.
%F A208014 Empirical g.f.: x*(9 + 72*x + 126*x^2 + 364*x^3 + 167*x^4 - 404*x^5 - 714*x^6 - 148*x^7) / ((1 + 2*x^2 - 4*x^3)*(1 - x - 4*x^2 - 4*x^3)). - _Colin Barker_, Jun 26 2018
%e A208014 Some solutions for n=4:
%e A208014 ..0..0..1..0....1..1..1..0....1..1..0..0....1..1..0..0....1..1..1..0
%e A208014 ..1..1..1..0....1..1..1..0....0..0..1..1....0..0..1..0....1..0..0..1
%e A208014 ..0..0..1..0....1..1..0..0....1..1..0..0....0..1..0..0....0..1..1..0
%e A208014 ..1..1..0..0....0..0..1..0....0..0..1..1....0..0..1..0....1..0..0..1
%Y A208014 Cf. A208013.
%K A208014 nonn
%O A208014 1,1
%A A208014 _R. H. Hardin_, Feb 22 2012