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%I #5 Mar 31 2012 12:36:57
%S 9,81,81,729,1517,729,6561,28057,28057,6561,59049,519445,1116249,
%T 519445,59049,531441,9616161,44577561,44577561,9616161,531441,4782969,
%U 178019197,1780968921,3906948333,1780968921,178019197,4782969,43046721,3295578857
%N T(n,k)=1/25 the number of (n+1)X(k+1) 0..4 arrays with every 2X2 subblock having equal diagonal elements or equal antidiagonal elements
%C Table starts
%C ........9..........81.............729...............6561.................59049
%C .......81........1517...........28057.............519445...............9616161
%C ......729.......28057.........1116249...........44577561............1780968921
%C .....6561......519445........44577561.........3906948333..........343812029649
%C ....59049.....9616161......1780968921.......343812029649........67213191427593
%C ...531441...178019197.....71156938905.....30292030417413.....13192335511091073
%C ..4782969..3295578857...2843024036697...2669260624372937...2592476403527692089
%C .43046721.61009378085.113591039131161.235230466316286557.509649251749126118193
%H R. H. Hardin, <a href="/A203656/b203656.txt">Table of n, a(n) for n = 1..112</a>
%e Some solutions for n=4 k=3
%e ..1..1..1..0....2..4..1..4....3..1..1..3....3..0..4..4....0..3..4..0
%e ..4..1..2..1....2..2..4..4....4..3..1..1....2..3..0..4....3..2..3..4
%e ..0..4..1..4....1..2..2..4....3..1..0..1....4..2..3..0....2..2..2..3
%e ..3..0..4..3....3..1..2..2....1..1..1..0....0..4..2..3....4..2..4..2
%e ..4..3..0..4....2..3..1..2....4..1..1..1....0..0..4..2....2..4..3..4
%Y Column 1 is A001019
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Jan 04 2012