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T(n,k)=Number of nXk 0..6 arrays with every 2X2 subblock containing exactly one value repeat, and new values 0..6 introduced in row major order
8

%I #7 Mar 31 2012 12:37:28

%S 1,2,2,5,6,5,15,57,57,15,52,700,2027,700,52,203,10676,107472,107472,

%T 10676,203,877,192994,7487423,26142922,7487423,192994,877,4139,

%U 3966581,613535578,8012278798,8012278798,613535578,3966581,4139,21110,89157292

%N T(n,k)=Number of nXk 0..6 arrays with every 2X2 subblock containing exactly one value repeat, and new values 0..6 introduced in row major order

%C Table starts

%C ....1........2.............5.................15......................52

%C ....2........6............57................700...................10676

%C ....5.......57..........2027.............107472.................7487423

%C ...15......700........107472...........26142922..............8012278798

%C ...52....10676.......7487423.........8012278798...........9920302864598

%C ..203...192994.....613535578......2694404849980.......12804264249973850

%C ..877..3966581...54657856108....937020001725427....16716447554895729642

%C .4139.89157292.5063931781244.329698685591776814.21891626720034635715808

%H R. H. Hardin, <a href="/A209465/b209465.txt">Table of n, a(n) for n = 1..84</a>

%e Some.solutions.for.n=4.k=3

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

%e ..1..2..0....1..2..1....1..2..1....1..2..0....1..2..1....1..2..1....1..2..3

%e ..0..0..1....0..0..1....0..2..3....2..0..1....0..1..3....3..1..0....0..0..0

%e ..1..2..0....3..4..1....2..1..1....1..0..2....0..4..4....0..1..2....4..2..4

%Y Column 1 is A099262

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Mar 09 2012