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Number of lower triangles of an n X n 0..7 array with all row sums equal to the length of the row and all column sums equal to the length of the column
1

%I #5 Dec 18 2015 18:17:46

%S 1,1,3,19,391,25532,5539434,4116290300,10699674783969,

%T 98827025484631957,3284291571314714878300

%N Number of lower triangles of an n X n 0..7 array with all row sums equal to the length of the row and all column sums equal to the length of the column

%C Column 7 of A194644

%e Some solutions for n=7

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

%e ..1.1............0.2............2.0............2.0............2.0

%e ..0.3.0..........0.3.0..........3.0.0..........2.1.0..........2.1.0

%e ..4.0.0.0........2.1.1.0........0.2.2.0........1.3.0.0........2.2.0.0

%e ..0.2.2.0.1......2.0.1.1.1......1.1.2.0.1......1.2.2.0.0......0.1.0.3.1

%e ..1.0.1.0.2.2....2.0.2.0.2.0....0.3.0.1.2.0....0.0.2.4.0.0....0.1.4.0.1.0

%e ..0.0.2.4.0.0.1..0.0.1.3.0.2.1..0.0.1.3.0.2.1..0.0.1.0.3.2.1..0.1.1.1.1.2.1

%K nonn

%O 1,3

%A _R. H. Hardin_ Sep 21 2011