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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
6

%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