A195763 - OEIS

%I #5 Mar 31 2012 12:36:24

%S 1,1,1,3,18,228,8904,1039761,379137552

%N Number of triangular nXnXn 0..n arrays with all row sums equal to the length of the row and all diagonal sums equal to the length of the respective diagonal

%C Diagonal of A195768

%e Some solutions for n=6

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

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

%e .....0.1.2........2.0.1........1.1.1........1.0.2........0.0.3........2.0.1

%e ....1.1.1.1......0.0.3.1......2.1.1.0......1.3.0.0......1.2.1.0......0.0.1.3

%e ...2.2.1.0.0....2.3.0.0.0....0.0.1.2.2....0.0.0.3.2....1.2.0.1.1....0.3.2.0.0

%e ..1.0.0.2.2.1..1.0.0.2.2.1..1.2.1.1.0.1..1.2.2.0.0.1..1.1.0.2.1.1..1.2.0.0.2.1

%K nonn

%O 1,4

%A _R. H. Hardin_ Sep 23 2011