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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 2 or 7
3

%I #4 Dec 10 2014 17:20:54

%S 49436,950384,950384,18245824,34096384,18245824,351040004,1228480800,

%T 1228480800,351040004,6755376172,44527823912,83861378128,44527823912,

%U 6755376172,130017259448,1618348274612,5801103610852,5801103610852

%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 2 or 7

%C Table starts

%C ........49436........950384......18245824.....351040004......6755376172

%C .......950384......34096384....1228480800...44527823912...1618348274612

%C .....18245824....1228480800...83861378128.5801103610852.405066257896888

%C ....351040004...44527823912.5801103610852

%C ...6755376172.1618348274612

%C .130017259448

%H R. H. Hardin, <a href="/A251912/b251912.txt">Table of n, a(n) for n = 1..24</a>

%e Some solutions for n=1 k=4

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Dec 10 2014