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T(n,k)=Number of (n+3)X(k+3) 0..1 arrays with each row and column not divisible by 13, read as a binary number with top and left being the most significant bits.
4

%I #4 Oct 11 2015 20:52:25

%S 22718,366629,366629,5486039,12652497,5486039,76647286,398648507,

%T 398648507,76647286,1068732662,11542428929,26007537155,11542428929,

%U 1068732662,14937290926,333834894509,1532722380695,1532722380695

%N T(n,k)=Number of (n+3)X(k+3) 0..1 arrays with each row and column not divisible by 13, read as a binary number with top and left being the most significant bits.

%C Table starts

%C ........22718........366629........5486039........76647286.....1068732662

%C .......366629......12652497......398648507.....11542428929...333834894509

%C ......5486039.....398648507....26007537155...1532722380695.90272986428673

%C .....76647286...11542428929..1532722380695.180709892658771

%C ...1068732662..333834894509.90272986428673

%C ..14937290926.9669206035811

%C .209908668003

%H R. H. Hardin, <a href="/A263198/b263198.txt">Table of n, a(n) for n = 1..31</a>

%e Some solutions for n=1 k=4

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Oct 11 2015