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%I #4 Dec 12 2014 08:48:17
%S 2735,20011,20011,151635,231559,151635,1182549,3069283,3069283,
%T 1182549,9375901,43957515,79998655,43957515,9375901,75153161,
%U 663814741,2351304453,2351304453,663814741,75153161,607579255,10354206421
%N T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 1 or 5
%C Table starts
%C .......2735.........20011...........151635...........1182549............9375901
%C ......20011........231559..........3069283..........43957515..........663814741
%C .....151635.......3069283.........79998655........2351304453........73509019463
%C ....1182549......43957515.......2351304453......143941074215......9220975438331
%C ....9375901.....663814741......73509019463.....9220975438331...1193233002253007
%C ...75153161...10354206421....2356741934027...598720936854481.155551233646772281
%C ..607579255..164646337261...76367982838785.39038339681025033
%C .4944443285.2648489572393.2486060084557113
%H R. H. Hardin, <a href="/A251989/b251989.txt">Table of n, a(n) for n = 1..60</a>
%e Some solutions for n=1 k=4
%e ..0..0..0..2..0..0....0..0..0..0..0..2....0..0..0..2..0..2....0..0..0..2..0..2
%e ..0..0..0..2..2..2....0..0..2..0..2..1....0..0..0..2..0..0....2..2..2..0..2..2
%e ..0..0..0..0..2..2....2..2..0..0..0..0....2..0..0..0..0..2....2..2..2..0..0..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 12 2014