cp's OEIS Frontend

A184757 Half the number of n X 5 binary arrays with no 1 having an adjacent 1 both above and to its left.

%I A184757 #9 Apr 14 2018 13:11:19
%S A184757 16,317,6847,145778,3110914,66363023,1415755252,30202770902,
%T A184757 644326291402,13745636657969,293240447607511,6255800447755343,
%U A184757 133457166530876185,2847088145920628222,60737921547191898319,1295743203159170280830
%N A184757 Half the number of n X 5 binary arrays with no 1 having an adjacent 1 both above and to its left.
%C A184757 Column 5 of A184761.
%H A184757 R. H. Hardin, <a href="/A184757/b184757.txt">Table of n, a(n) for n = 1..200</a>
%F A184757 Empirical: a(n) = 13*a(n-1) + 150*a(n-2) + 550*a(n-3) + 889*a(n-4) + 434*a(n-5) - 228*a(n-6) + 32*a(n-7).
%F A184757 Empirical g.f.: x*(16 + 109*x + 326*x^2 + 417*x^3 + 176*x^4 - 166*x^5 + 40*x^6) / (1 - 13*x - 150*x^2 - 550*x^3 - 889*x^4 - 434*x^5 + 228*x^6 - 32*x^7). - _Colin Barker_, Apr 14 2018
%e A184757 Some solutions for 3 X 5:
%e A184757 ..1..1..0..0..0....0..0..0..0..0....1..0..1..0..1....0..0..1..1..1
%e A184757 ..0..0..1..0..0....0..0..0..1..1....1..0..1..1..0....1..1..0..0..1
%e A184757 ..0..0..1..0..0....0..0..0..1..0....1..1..0..1..0....1..0..0..0..0
%Y A184757 Cf. A184761.
%K A184757 nonn
%O A184757 1,1
%A A184757 _R. H. Hardin_, Jan 21 2011