%I #5 Mar 31 2012 12:36:58
%S 960,14400,14400,216000,539456,216000,3240000,19071424,19071424,
%T 3240000,48600000,681461824,1754118528,681461824,48600000,729000000,
%U 24301391808,161916229056,161916229056,24301391808,729000000,10935000000
%N T(n,k)=Number of (n+1)X(k+1) 0..7 arrays with every 2X2 subblock having equal diagonal elements or equal antidiagonal elements
%C Table starts
%C ..........960..........14400...........216000..........3240000.........48600000
%C ........14400.........539456.........19071424........681461824......24301391808
%C .......216000.......19071424.......1754118528.....161916229056...14950234495680
%C ......3240000......681461824.....161916229056...39986164706496.9889622728751424
%C .....48600000....24301391808...14950234495680.9889622728751424
%C ....729000000...866928276544.1380434809882752
%C ..10935000000.30924651270080
%C .164025000000
%H R. H. Hardin, <a href="/A203732/b203732.txt">Table of n, a(n) for n = 1..40</a>
%F Empirical for column k:
%F k=1: a(n) = 64*15^n
%F k=2: a(n) = 29*a(n-1) +238*a(n-2)
%F k=3: a(n) = 99*a(n-1) -609*a(n-2) -588*a(n-3)
%F k=4: a(n) = 141*a(n-1) +34391*a(n-2) -1914087*a(n-3) -5360404*a(n-4) +185626112*a(n-5) +226020536*a(n-6) -801895584*a(n-7)
%e Some solutions for n=4 k=3
%e ..4..0..2..1....2..3..7..4....0..4..1..2....3..2..0..1....4..7..7..3
%e ..1..4..0..2....4..2..3..7....0..0..4..1....0..3..2..0....2..4..7..7
%e ..0..1..4..0....6..4..2..3....5..0..0..4....7..0..3..2....0..2..4..7
%e ..2..0..1..4....6..6..4..2....1..5..0..0....1..7..0..3....3..0..2..4
%e ..5..2..0..1....1..6..6..4....5..0..3..0....5..1..7..0....7..3..0..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Jan 05 2012