|
%I #10 Jan 20 2018 12:16:51
%S 15,225,1785,16065,139605,1228095,10751415,94313535,826627095,
%T 7247786265,63537791985,557042877105,4883512293885,42813574729335,
%U 375342984092895,3290607987017295,28848520578042495,252912991131598545
%N Number of 5 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 5 of A208078.
%H R. H. Hardin, <a href="/A208080/b208080.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 4*a(n-1) +40*a(n-2) +24*a(n-3) -70*a(n-4) -28*a(n-5) +36*a(n-6) -a(n-8).
%F Empirical g.f.: 15*x*(1 - x)*(1 + 12*x + 31*x^2 + 2*x^3 - 25*x^4 + 2*x^5 + x^6) / (1 - 4*x - 40*x^2 - 24*x^3 + 70*x^4 + 28*x^5 - 36*x^6 + x^8). - _Colin Barker_, Jan 20 2018
%e Some solutions for n=4:
%e ..1..0..1..0....1..1..0..0....1..1..0..0....1..0..1..1....1..0..1..1
%e ..0..1..0..1....0..1..1..0....0..1..1..1....1..1..1..1....0..1..1..0
%e ..1..1..0..1....0..1..1..1....1..0..1..1....0..1..1..1....1..1..0..0
%e ..1..0..1..0....1..1..0..1....1..0..1..0....0..1..1..0....1..0..1..1
%e ..0..1..1..1....1..0..1..1....1..1..0..1....1..0..1..0....0..1..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 23 2012
| 