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Number of triangular nXnXn 0..5 arrays with all row sums equal to the length of the row and all diagonal sums equal to the length of the respective diagonal
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%I #4 Mar 31 2012 12:36:24

%S 1,1,1,3,18,228,8904,1039761,379119168

%N Number of triangular nXnXn 0..5 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 5 of A195768

%e Some solutions for n=6

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

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

%e .....0.3.0........1.0.2........3.0.0........1.2.0........1.1.1........1.2.0

%e ....1.1.1.1......2.1.0.1......0.0.2.2......1.0.2.1......1.1.2.0......1.1.1.1

%e ...2.0.1.0.2....0.1.2.2.0....0.2.1.1.1....1.1.1.0.2....1.1.0.1.2....2.0.1.1.1

%e ..1.0.2.2.0.1..1.2.0.0.2.1..1.2.1.0.1.1..1.1.1.2.0.1..1.1.1.2.0.1..1.0.2.1.1.1

%K nonn

%O 1,4

%A _R. H. Hardin_ Sep 23 2011