|
%I #12 Jan 20 2018 12:31:38
%S 25,625,7225,99225,1288225,17098225,224850025,2968615225,39126818025,
%T 516077008225,6804820046025,89738392111225,1183352776011025,
%U 15604910211748225,205780172363700025,2713612593438576025
%N Number of 6 X n 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 0 and 0 1 0 vertically.
%C Row 6 of A208078.
%H R. H. Hardin, <a href="/A208081/b208081.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 10*a(n-1) +59*a(n-2) -216*a(n-3) -146*a(n-4) +568*a(n-5) -58*a(n-6) -208*a(n-7) +35*a(n-8) +6*a(n-9) -a(n-10).
%F Empirical g.f.: 25*x*(1 + 15*x - 20*x^2 - 180*x^3 + 334*x^4 - 26*x^5 - 144*x^6 + 32*x^7 + 5*x^8 - x^9) / ((1 - 16*x + 38*x^2 - 12*x^3 + x^4)*(1 + 6*x - x^2 - 16*x^3 - x^4 + 6*x^5 + x^6)). - _Colin Barker_, Jan 20 2018
%e Some solutions for n=4:
%e ..1..1..0..0....1..1..0..0....0..1..0..1....1..1..1..1....1..1..0..1
%e ..1..1..0..1....0..1..0..1....1..0..1..0....0..1..1..1....1..0..1..0
%e ..1..0..1..1....0..1..1..1....1..0..1..0....1..0..1..1....1..0..1..1
%e ..0..1..1..0....1..0..1..0....1..1..0..1....1..0..1..0....1..1..0..1
%e ..0..1..1..0....1..0..1..1....0..1..1..1....1..1..0..0....1..1..1..1
%e ..1..0..1..1....1..1..1..1....0..1..1..1....0..1..1..1....0..1..1..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 23 2012
| 