%I #4 Mar 31 2012 12:36:24
%S 1,1,1,3,15,135,2889,146559,17742675,5342155407
%N Number of triangular nXnXn 0..2 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 Column 2 of A195768
%e Some solutions for n=6
%e .......1............1............1............1............1............1
%e ......1.1..........1.1..........2.0..........0.2..........2.0..........0.2
%e .....1.0.2........1.0.2........1.1.1........2.1.0........1.0.2........2.0.1
%e ....1.1.2.0......0.2.1.1......0.2.0.2......1.0.2.1......1.2.1.0......2.0.1.1
%e ...1.2.0.1.1....2.2.0.1.0....1.1.1.1.1....1.1.1.1.1....0.1.0.2.2....0.1.2.2.0
%e ..1.1.0.2.1.1..1.0.1.1.2.1..1.1.2.0.1.1..1.1.1.1.1.1..1.2.1.1.0.1..1.2.0.0.2.1
%K nonn
%O 1,4
%A _R. H. Hardin_ Sep 23 2011