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%I #8 Jan 28 2019 14:01:41
%S 60,17520,2624640,326697720,37212131520,4022791852800,420141188848320,
%T 42818890099881480,4284894917784397440,422758967764941655440,
%U 41241625930544770099200,3986294332446031676572440
%N Number of n X 3 0..5 arrays with some element plus some horizontally or vertically adjacent neighbor totalling five exactly once.
%H R. H. Hardin, <a href="/A269762/b269762.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 184*a(n-1) - 9134*a(n-2) + 61640*a(n-3) - 112225*a(n-4) for n>5.
%F Empirical g.f.: 60*x*(1 + 108*x - 850*x^2 + 1554*x^3 + 225*x^4) / (1 - 92*x + 335*x^2)^2. - _Colin Barker_, Jan 28 2019
%e Some solutions for n=2:
%e ..1..2..5. .0..1..4. .4..0..2. .2..4..4. .0..0..4. .5..3..0. .2..0..4
%e ..5..4..1. .2..0..4. .3..0..5. .2..1..5. .4..1..5. .2..1..4. .1..2..1
%Y Column 3 of A269767.
%K nonn
%O 1,1
%A _R. H. Hardin_, Mar 04 2016
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