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A231852 Number of nX5 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 A231852 #6 Jun 02 2025 08:48:06
%S A231852 21,612,85288,11149456,1454768048,189801034186,24762957054535,
%T A231852 3230773305296573,421512520908365354,54993894395631067868,
%U A231852 7174943262940390093175,936100477964636376119044
%N A231852 Number of nX5 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 A231852 Column 5 of A231855
%H A231852 R. H. Hardin, <a href="/A231852/b231852.txt">Table of n, a(n) for n = 1..210</a>
%F A231852 Empirical: a(n) = 183*a(n-1) -8008*a(n-2) +164477*a(n-3) -1911762*a(n-4) +13545983*a(n-5) -59779265*a(n-6) +159414566*a(n-7) -218855372*a(n-8) +7532104*a(n-9) +451112826*a(n-10) -590711864*a(n-11) +106059884*a(n-12) +386076754*a(n-13) -374591713*a(n-14) +131217119*a(n-15) +37977619*a(n-16) -86897128*a(n-17) +54663372*a(n-18) -17127366*a(n-19) +3057852*a(n-20) -413220*a(n-21) for n>22
%e A231852 Some solutions for n=2
%e A231852 ..0..0..0..0..2....0..0..0..1..1....0..2..2..2..2....0..0..0..0..2
%e A231852 ..0..0..1..2..2....0..0..1..1..1....1..1..0..0..1....2..1..1..1..1
%K A231852 nonn
%O A231852 1,1
%A A231852 _R. H. Hardin_, Nov 14 2013