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A209465 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.

%I A209465 #9 Jul 22 2025 21:44:40
%S A209465 1,2,2,5,6,5,15,57,57,15,52,700,2027,700,52,203,10676,107472,107472,
%T A209465 10676,203,877,192994,7487423,26142922,7487423,192994,877,4139,
%U A209465 3966581,613535578,8012278798,8012278798,613535578,3966581,4139,21110,89157292
%N A209465 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 A209465 Table starts
%C A209465 ....1........2.............5.................15......................52
%C A209465 ....2........6............57................700...................10676
%C A209465 ....5.......57..........2027.............107472.................7487423
%C A209465 ...15......700........107472...........26142922..............8012278798
%C A209465 ...52....10676.......7487423.........8012278798...........9920302864598
%C A209465 ..203...192994.....613535578......2694404849980.......12804264249973850
%C A209465 ..877..3966581...54657856108....937020001725427....16716447554895729642
%C A209465 .4139.89157292.5063931781244.329698685591776814.21891626720034635715808
%H A209465 R. H. Hardin, <a href="/A209465/b209465.txt">Table of n, a(n) for n = 1..84</a>
%e A209465 Some.solutions.for.n=4.k=3
%e A209465 ..0..0..1....0..0..1....0..0..0....0..0..1....0..0..0....0..0..0....0..0..0
%e A209465 ..1..2..0....1..2..1....1..2..1....1..2..0....1..2..1....1..2..1....1..2..3
%e A209465 ..0..0..1....0..0..1....0..2..3....2..0..1....0..1..3....3..1..0....0..0..0
%e A209465 ..1..2..0....3..4..1....2..1..1....1..0..2....0..4..4....0..1..2....4..2..4
%Y A209465 Column 1 is A099262
%K A209465 nonn,tabl
%O A209465 1,2
%A A209465 _R. H. Hardin_ Mar 09 2012