login
Number of nX3 0..2 arrays with no occurrence of three equal elements in a row horizontally or vertically, and new values 0..2 introduced in row major order
1

%I #7 Feb 22 2020 20:54:24

%S 4,96,1625,30145,545520,9937823,180716227,3287842038,59809329737,

%T 1088032590151,19792964824776,360064977265607,6550140544959199,

%U 119157239793862758,2167655337437946773,39433019182323687619

%N Number of nX3 0..2 arrays with no occurrence of three equal elements in a row horizontally or vertically, and new values 0..2 introduced in row major order

%C Column 3 of A206650

%H R. H. Hardin, <a href="/A206645/b206645.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n)=15*a(n-1)+66*a(n-2)-145*a(n-3)+13*a(n-4)-64*a(n-5)+156*a(n-6)-36*a(n-7)-8*a(n-9)-8*a(n-10)

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 11 2012