A206635 - OEIS

A206635

T(n,k) = Number of (n+1) X (k+1) 0..2 arrays with every 2 X 3 or 3 X 2 subblock having no more than four equal edges, and new values 0..2 introduced in row major order.

%I #9 May 22 2014 03:34:36

%S 14,121,121,1085,3232,1085,9729,86392,86392,9729,87238,2309200,

%T 6885875,2309200,87238,782246,61723264,548812835,548812835,61723264,

%U 782246,7014246,1649819344,43740991174,130424683977,43740991174,1649819344

%N T(n,k) = Number of (n+1) X (k+1) 0..2 arrays with every 2 X 3 or 3 X 2 subblock having no more than four equal edges, and new values 0..2 introduced in row major order.

%C Table starts:

%C .......14...........121..............1085..................9729

%C ......121..........3232.............86392...............2309200

%C .....1085.........86392...........6885875.............548812835

%C .....9729.......2309200.........548812835..........130424683977

%C ....87238......61723264.......43740991174........30995204476194

%C ...782246....1649819344.....3486207195767......7365962082764193

%C ..7014246...44098506880...277854703424333...1750509332449744133

%C .62895364.1178721971776.22145337882995800.416005797001053603530

%H R. H. Hardin, <a href="/A206635/b206635.txt">Table of n, a(n) for n = 1..179</a>

%e Some solutions for n=4, k=3:

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

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Feb 10 2012