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A231851 Number of nX4 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).

%I A231851 #6 Jun 02 2025 08:47:59
%S A231851 8,144,7339,360966,17726611,870478586,42745416641,2099041399895,
%T A231851 103074789422478,5061554394805698,248550911791818706,
%U A231851 12205253749015192168,599346902427518296059,29431318417158665841585
%N A231851 Number of nX4 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 A231851 Column 4 of A231855
%H A231851 R. H. Hardin, <a href="/A231851/b231851.txt">Table of n, a(n) for n = 1..210</a>
%F A231851 Empirical: a(n) = 62*a(n-1) -697*a(n-2) +3287*a(n-3) -7718*a(n-4) +9336*a(n-5) -5629*a(n-6) +1612*a(n-7) -184*a(n-8) +4*a(n-9) for n>10
%e A231851 Some solutions for n=3
%e A231851 ..0..0..2..1....0..0..2..2....0..2..2..1....0..0..2..1....0..0..2..1
%e A231851 ..2..2..1..2....1..1..0..0....2..1..1..1....1..1..1..1....1..2..1..1
%e A231851 ..0..1..2..2....0..0..0..0....0..0..0..0....1..2..0..0....2..0..2..2
%K A231851 nonn
%O A231851 1,1
%A A231851 _R. H. Hardin_, Nov 14 2013