A205440 - OEIS

%I #8 Apr 20 2013 08:17:29

%S 15,77,77,443,833,443,2705,10275,10275,2705,16955,140423,302148,

%T 140423,16955,108173,2052727,10308161,10308161,2052727,108173,698747,

%U 31378965,375775257,869874577,375775257,31378965,698747,4558985,493169259

%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having the same number of equal edges, and new values 0..3 introduced in row major order

%C Table starts

%C ......15.........77............443..............2705.................16955

%C ......77........833..........10275............140423...............2052727

%C .....443......10275.........302148..........10308161.............375775257

%C ....2705.....140423.......10308161.........869874577...........76421483407

%C ...16955....2052727......375775257.......76421483407........15852623627426

%C ..108173...31378965....14089784418.....6789317584699......3300774182686057

%C ..698747..493169259...534222700494...604991353523259....687760437018264199

%C .4558985.7881048447.20344347242650.53954586647399703.143323394012947339038

%H R. H. Hardin, <a href="/A205440/b205440.txt">Table of n, a(n) for n = 1..97</a>

%e Some solutions for n=4 k=3

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

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Jan 27 2012