%I
%S 6,480,17520,524160,14288400,368958240,9195061680,223482006720,
%T 5331222081360,125355762453600,2913873085171440,67100778335162880,
%U 1533214659516235920,34803572453875078560,785602378216093258800
%N Number of n X 2 0..5 arrays with some element plus some horizontally or vertically adjacent neighbor totalling five exactly once.
%H R. H. Hardin, <a href="/A269761/b269761.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 42*a(n1)  441*a(n2) for n>3.
%F Conjectures from _Colin Barker_, Jan 28 2019: (Start)
%F G.f.: 6*x*(1 + 38*x + x^2) / (1  21*x)^2.
%F a(n) = 80 * 3^(n2) * 7^(n3) * (31*n20) for n>1.
%F (End)
%e Some solutions for n=3:
%e ..5..3. .4..0. .0..4. .0..4. .2..3. .5..4. .0..3. .2..5. .4..4. .4..4
%e ..1..4. .1..0. .0..3. .0..5. .5..5. .2..1. .1..4. .4..2. .2..5. .1..2
%e ..3..0. .0..4. .5..3. .4..5. .1..5. .0..0. .5..5. .4..1. .0..0. .2..4
%Y Column 2 of A269767.
%K nonn
%O 1,1
%A _R. H. Hardin_, Mar 04 2016
