%I #5 Dec 19 2014 10:53:14
%S 4508,17704,17704,81098,78710,81098,405044,585774,585774,405044,
%T 2130874,5013608,8098018,5013608,2130874,11518022,45094726,118551272,
%U 118551272,45094726,11518022,63438930,410194726,1793890764,2894745288,1793890764
%N T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 1 3 6 or 8
%C Table starts
%C ........4508.........17704............81098............405044
%C .......17704.........78710...........585774...........5013608
%C .......81098........585774..........8098018.........118551272
%C ......405044.......5013608........118551272........2894745288
%C .....2130874......45094726.......1793890764.......72359809802
%C ....11518022.....410194726......27201457322.....1811913699224
%C ....63438930....3747351702.....412945739530....45371704729062
%C ...353233466...34254637480....6275667755428..1137317580721148
%C ..1976523666..313184238226...95419825718602.28509333379628144
%C .11088640448.2863795168360.1450304432983900
%H R. H. Hardin, <a href="/A252628/b252628.txt">Table of n, a(n) for n = 1..83</a>
%e Some solutions for n=2 k=4
%e ..0..0..0..2..0..0....0..0..0..0..0..2....0..0..0..0..0..0....0..0..0..2..0..0
%e ..0..0..0..0..0..0....0..0..2..0..2..2....0..0..0..2..2..0....0..0..2..0..0..0
%e ..0..2..0..0..2..2....0..0..0..0..2..3....0..0..2..0..2..2....0..0..0..0..2..0
%e ..0..0..0..0..0..0....0..0..2..0..0..2....0..0..0..0..0..0....0..2..2..0..3..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 19 2014