A208381 - OEIS

%I #8 Jul 02 2018 08:51:58

%S 10,100,144,640,2176,7072,25200,87040,296560,1028128,3545856,12198016,

%T 42085264,145092160,499958928,1723635712,5941670272,20479942816,

%U 70597050480,243353573632,838843117552,2891546321440,9967326856704

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

%C Row 5 of A208379.

%H R. H. Hardin, <a href="/A208381/b208381.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) + 4*a(n-2) + 13*a(n-3) + 8*a(n-4) - 3*a(n-5) + 9*a(n-6) for n>8.

%F Empirical g.f.: 2*x*(5 + 45*x + 2*x^2 - 17*x^3 - 210*x^4 - 153*x^5 + 81*x^6 - 162*x^7) / (1 - x - 4*x^2 - 13*x^3 - 8*x^4 + 3*x^5 - 9*x^6). - _Colin Barker_, Jul 02 2018

%e Some solutions for n=4:

%e ..1..0..1..1....1..1..0..0....1..1..0..0....0..1..0..1....1..0..1..0

%e ..0..1..0..0....0..0..1..1....1..1..0..0....0..1..1..0....1..0..1..0

%e ..0..1..0..0....0..0..1..1....0..1..0..0....0..1..0..0....0..0..1..0

%e ..0..1..0..0....0..0..1..0....0..1..0..0....0..1..0..0....0..0..1..0

%e ..0..1..0..0....0..0..1..0....0..1..0..0....0..1..0..0....0..0..1..0

%Y Cf. A208379.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 25 2012