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%I #5 Mar 31 2012 12:36:58
%S 112,784,784,5488,10576,5488,38416,142192,142192,38416,268912,1911952,
%T 3784288,1911952,268912,1882384,25708528,101071600,101071600,25708528,
%U 1882384,13176688,345682576,2700695728,5426653360,2700695728,345682576
%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having equal diagonal elements or equal antidiagonal elements
%C Table starts
%C ......112.........784...........5488.............38416...............268912
%C ......784.......10576.........142192...........1911952.............25708528
%C .....5488......142192........3784288.........101071600...........2700695728
%C ....38416.....1911952......101071600........5426653360.........292394880208
%C ...268912....25708528.....2700695728......292394880208.......31960919852416
%C ..1882384...345682576....72168659104....15768587718160.....3504288958063120
%C .13176688..4648124656..1928524187248...850544485943152...384592800378103840
%C .92236816.62499715984.51534966781936.45880025360206384.42221697503213865232
%H R. H. Hardin, <a href="/A203796/b203796.txt">Table of n, a(n) for n = 1..112</a>
%e Some solutions for n=4 k=3
%e ..1..2..3..2....1..1..3..2....0..0..3..0....1..2..1..3....1..1..1..3
%e ..3..1..2..1....0..1..1..3....1..0..0..0....2..3..2..1....3..1..2..1
%e ..3..3..1..1....1..3..1..1....2..1..0..0....0..2..1..1....0..3..1..1
%e ..3..1..3..1....1..1..1..1....3..2..1..0....1..0..2..1....3..1..0..1
%e ..3..3..1..1....0..1..0..1....2..3..2..1....0..3..0..2....1..0..2..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Jan 05 2012