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Number of nX6 0..2 arrays with no element having a strict majority of its horizontal 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 55,2613,991167,342945563,118292347982,40798265169064,

%T 14071005227913420,4852980371902817445,1673755248583159267298,

%U 577265190724597150269824,199094282646348652645556638,68666072406587433832844219579

%N Number of nX6 0..2 arrays with no element having a strict majority of its horizontal and antidiagonal neighbors equal to itself plus one mod 3, with upper left element zero (rock paper and scissors drawn positions)

%C Column 6 of A231855

%H R. H. Hardin, <a href="/A231853/b231853.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A231853/a231853.txt">Empirical recurrence of order 52</a>

%F Empirical recurrence of order 52 (see link above)

%e Some solutions for n=2

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 14 2013