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T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum less than 5
4

%I #4 Dec 17 2014 19:05:49

%S 12256,201803,201803,3610840,8200869,3610840,63629981,379549048,

%T 379549048,63629981,1109122552,16121522385,43375710311,16121522385,

%U 1109122552,19357895296,688488765345,4543445214587,4543445214587

%N T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum less than 5

%C Table starts

%C ......12256.......201803.........3610840...........63629981.........1109122552

%C .....201803......8200869.......379549048........16121522385.......688488765345

%C ....3610840....379549048.....43375710311......4543445214587....484455746584740

%C ...63629981..16121522385...4543445214587...1166094457388348.302946552950286276

%C .1109122552.688488765345.484455746584740.302946552950286276

%H R. H. Hardin, <a href="/A252500/b252500.txt">Table of n, a(n) for n = 1..40</a>

%e Some solutions for n=1 k=4

%e ..0..0..0..0..1..1....0..0..0..0..1..0....0..0..0..1..1..0....0..0..0..2..1..1

%e ..0..0..1..0..2..1....0..0..0..1..0..1....0..0..2..1..0..3....0..0..1..1..0..0

%e ..0..0..1..0..0..0....0..0..0..0..2..0....0..0..1..0..3..0....0..0..0..0..0..1

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Dec 17 2014