A232649 - OEIS

%I #4 Nov 27 2013 10:26:52

%S 1,1,7,7,1,19,55,1,259,613,1,3571,8881,1,55765,142369,1,947947,

%T 2468845,1,17099809,45375499,1,323927185,871038571,1,6369199909,

%U 17312303761,1,129094833121,354018140455,1,2682854657047,7411871621617,1

%N Number of (n+2)X(3+2) 0..1 arrays x(i,j) with every row sum{j*x(i,j), j=1..3+2} equal, and every column sum{i*x(i,j), i=1..n+2} equal, with upper left element zero

%C Column 3 of A232654

%H R. H. Hardin, <a href="/A232649/b232649.txt">Table of n, a(n) for n = 1..44</a>

%e Some solutions for n=6

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

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

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

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

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

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

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

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

%K nonn

%O 1,3

%A _R. H. Hardin_, Nov 27 2013