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A208706 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.

%I A208706 #9 Jul 06 2018 08:52:01
%S A208706 16,356,8128,185344,4226368,96373248,2197585152,50111214592,
%T A208706 1142678737920,26056337063936,594158864306176,13548518165364736,
%U A208706 308944889161203712,7044825373067575296,160642128347753938944
%N A208706 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 A208706 Column 5 of A208709.
%H A208706 R. H. Hardin, <a href="/A208706/b208706.txt">Table of n, a(n) for n = 1..210</a>
%F A208706 Empirical: a(n) = 24*a(n-1) - 28*a(n-2) + 16*a(n-3) for n>4.
%F A208706 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 A208706 Some solutions for n=4:
%e A208706 ..0..0..1..0..0....0..0..1..0..0....0..0..1..1..1....0..1..1..0..1
%e A208706 ..1..1..0..1..0....1..1..1..1..0....0..1..0..0..0....1..0..1..0..0
%e A208706 ..1..0..1..1..0....1..0..1..1..0....0..0..1..0..0....1..0..1..1..1
%e A208706 ..0..1..0..1..0....1..1..0..0..1....1..1..1..0..1....0..0..1..0..0
%Y A208706 Cf. A208709.
%K A208706 nonn
%O A208706 1,1
%A A208706 _R. H. Hardin_, Mar 01 2012