A195765 - OEIS

%I #4 Mar 31 2012 12:36:24

%S 1,1,1,3,18,228,8472,898125,276763188

%N Number of triangular nXnXn 0..3 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 3 of A195768

%e Some solutions for n=6

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

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

%e .....1.2.0........2.0.1........1.2.0........3.0.0........0.2.1........1.0.2

%e ....1.1.0.2......1.0.3.0......1.0.2.1......0.0.2.2......2.0.2.0......1.1.2.0

%e ...1.0.2.1.1....1.2.0.1.1....2.1.1.0.1....0.2.1.1.1....2.1.1.0.1....0.2.0.1.2

%e ..1.1.2.0.1.1..1.1.0.2.1.1..1.0.1.2.1.1..1.2.1.0.1.1..1.0.0.3.1.1..1.2.0.2.0.1

%K nonn

%O 1,4

%A _R. H. Hardin_ Sep 23 2011