A208706 - OEIS

%I #9 Jul 06 2018 08:52:01

%S 16,356,8128,185344,4226368,96373248,2197585152,50111214592,

%T 1142678737920,26056337063936,594158864306176,13548518165364736,

%U 308944889161203712,7044825373067575296,160642128347753938944

%N Number of n X 5 0..1 arrays with new values 0..1 introduced in row major order and no element equal to more than two of its immediate leftward or upward or right-upward antidiagonal neighbors.

%C Column 5 of A208709.

%H R. H. Hardin, <a href="/A208706/b208706.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 24*a(n-1) - 28*a(n-2) + 16*a(n-3) for n>4.

%F Empirical g.f.: 4*x*(4 - 7*x + 8*x^2 - 4*x^3) / (1 - 24*x + 28*x^2 - 16*x^3). - _Colin Barker_, Jul 06 2018

%e Some solutions for n=4:

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

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

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

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

%Y Cf. A208709.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 01 2012