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Number of 7X7X7 triangular 0..n arrays with some element plus some adjacent element totalling n+1 or n-1 exactly once.
0

%I #3 Mar 20 2016 11:06:17

%S 0,0,8708857332,98204118828408,9214293422949066,4757551848002860896,

%T 285369749616515150016,32625021173112501378696,

%U 1060574342507074466039772,42481155976455567861014856

%N Number of 7X7X7 triangular 0..n arrays with some element plus some adjacent element totalling n+1 or n-1 exactly once.

%C Row 7 of A270606.

%e Some solutions for n=3

%e ........0..............3..............3..............0..............0

%e .......3.3............1.0............3.0............3.3............0.0

%e ......0.0.3..........0.0.0..........0.0.0..........0.0.3..........0.3.0

%e .....0.0.3.0........0.0.1.0........0.0.0.0........0.0.3.3........0.0.3.2

%e ....0.0.0.3.3......0.0.0.0.0......0.0.0.3.3......0.0.0.0.2......0.0.0.3.3

%e ...0.0.0.0.3.3....0.0.0.0.3.0....0.0.0.0.3.0....0.0.0.0.3.3....0.0.0.0.3.3

%e ..0.0.0.0.0.0.2..0.0.0.0.0.3.0..0.0.0.0.1.0.0..0.0.0.0.0.3.2..0.0.0.0.3.3.3

%Y Cf. A270606.

%K nonn

%O 1,3

%A _R. H. Hardin_, Mar 20 2016