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Number of triangular nXnXn 0..4 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 1,1,1,3,18,228,8904,1037343,374504433

%N Number of triangular nXnXn 0..4 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 4 of A195768

%e Some solutions for n=6

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

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

%e .....0.3.0........1.1.1........1.2.0........1.2.0........1.2.0........1.1.1

%e ....2.0.0.2......1.1.2.0......1.1.1.1......0.1.2.1......0.2.1.1......0.3.0.1

%e ...0.0.3.0.2....2.1.0.1.1....2.0.1.1.1....2.1.0.0.2....2.0.0.1.2....1.0.0.2.2

%e ..1.2.1.1.0.1..1.0.1.2.1.1..1.0.2.1.1.1..1.0.2.2.0.1..1.0.3.1.0.1..1.1.3.0.0.1

%K nonn

%O 1,4

%A _R. H. Hardin_ Sep 23 2011