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Number of nX4 0..2 arrays with no element having a strict majority of its horizontal, diagonal and antidiagonal neighbors equal to itself plus one mod 3, with upper left element zero (rock paper and scissors drawn positions)
1

%I #5 Aug 11 2014 22:45:55

%S 8,948,31167,1082472,37368831,1291573433,44640322903,1542901809201,

%T 53327477734135,1843163660015175,63705479928648669,

%U 2201859964953479282,76103144063406244896,2630361890828764957567,90913506438274381411200

%N Number of nX4 0..2 arrays with no element having a strict majority of its horizontal, diagonal and antidiagonal neighbors equal to itself plus one mod 3, with upper left element zero (rock paper and scissors drawn positions)

%C Column 4 of A231908

%H R. H. Hardin, <a href="/A231905/b231905.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A231905/a231905.txt">Empirical recurrence of order 81</a>

%F Empirical recurrence of order 81 (see link above)

%e Some solutions for n=3

%e ..0..0..1..1....0..2..2..0....0..0..2..1....0..0..1..2....0..1..2..0

%e ..2..2..2..2....2..2..0..1....0..1..0..1....0..0..1..1....0..0..2..2

%e ..0..1..0..2....1..1..1..2....2..0..1..0....1..0..2..2....1..2..1..0

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 15 2013