A231904 - OEIS

%I #5 Nov 15 2013 07:21:58

%S 3,137,1740,22759,297099,3882566,50739125,663117735,8666487550,

%T 113265373685,1480306533273,19346672704504,252848831479961,

%U 3304575115257435,43188717562121576,564449365837980499

%N Number of nX3 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 3 of A231908

%H R. H. Hardin, <a href="/A231904/b231904.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 21*a(n-1) -112*a(n-2) +73*a(n-3) +431*a(n-4) +780*a(n-5) -2741*a(n-6) -5903*a(n-7) +14367*a(n-8) -2036*a(n-9) -35426*a(n-10) +78448*a(n-11) -24360*a(n-12) -25944*a(n-13) +50016*a(n-14) -2848*a(n-15) -52992*a(n-16) +7808*a(n-17) for n>18

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 15 2013