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%I #4 Mar 31 2012 12:36:08
%S 5056,7776,7776,440192,89150,440192,2332924,2103856,2103856,2332924,
%T 52776112,39189180,393309192,39189180,52776112,460096436,823266330
%N T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 2X2 subblock sum equal to some diagonal or antidiagonal neighbor 2X2 subblock sum
%C Table starts
%C .....5056.....7776....440192..2332924..52776112.460096436
%C .....7776....89150...2103856.39189180.823266330
%C ...440192..2103856.393309192
%C ..2332924.39189180
%C .52776112
%e Some solutions for 5X4
%e ..0..0..2..0....0..2..0..2....2..0..2..0....0..2..0..1....2..2..0..2
%e ..2..3..1..2....0..3..1..2....0..2..0..2....0..2..1..2....2..1..3..2
%e ..1..0..1..2....2..0..1..2....1..1..1..0....2..0..1..1....0..3..0..1
%e ..2..2..3..0....2..2..2..1....0..1..0..2....0..2..1..1....2..2..0..3
%e ..1..1..0..3....0..1..1..1....0..2..0..1....2..0..1..1....0..1..1..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Mar 08 2011