%I #9 Jan 17 2019 09:19:55
%S 336,11664,339480,9093528,231730344,5712070032,137497776840,
%T 3251386055664,75828095546544,1748970953035272,39976056137974824,
%U 906854671261865016,20440902679961179824,458229741557275128024
%N Number of n X 6 0..2 arrays with some element plus some horizontally or antidiagonally adjacent neighbor totalling two not more than once.
%H R. H. Hardin, <a href="/A268969/b268969.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 50*a(n-1) - 805*a(n-2) + 4662*a(n-3) - 12150*a(n-4) + 14580*a(n- 5) -6561*a(n-6).
%F Empirical g.f.: 24*x*(14 - 214*x + 1115*x^2 - 2391*x^3 + 1674*x^4 + 243*x^5) / (1 - 25*x + 90*x^2 - 81*x^3)^2. - _Colin Barker_, Jan 17 2019
%e Some solutions for n=2:
%e ..1..0..0..0..1..2. .1..2..2..0..1..2. .0..0..1..2..2..2. .1..0..1..0..0..0
%e ..0..1..0..0..1..1. .1..2..1..2..2..2. .0..1..2..2..2..2. .1..0..0..0..0..0
%Y Column 6 of A268971.
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 16 2016