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Number of nXnXn triangular 0..4 arrays with no element equal to the sum or difference mod 5 of any two of its neighbors
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%I #4 Mar 31 2012 12:36:21

%S 5,64,152,2344,74128,4727488,605830476,155327728048,79651829978204,

%T 81691885047878064,167569176063020514888,687449894100567335441484,

%U 5640526291619821099568894356,92561388544166458974009202568900

%N Number of nXnXn triangular 0..4 arrays with no element equal to the sum or difference mod 5 of any two of its neighbors

%e Some solutions for 4X4X4

%e .....1........2........2........2........3........1........3........3

%e ....1.4......2.3......3.2......2.2......3.3......4.1......2.3......2.3

%e ...4.4.1....3.3.3....3.3.2....3.3.3....3.3.2....1.4.1....2.3.3....2.2.2

%e ..1.4.4.4..2.3.3.2..2.3.3.2..2.3.3.2..3.2.3.3..1.4.4.1..2.2.2.2..2.2.2.2

%K nonn

%O 1,1

%A _R. H. Hardin_ Aug 06 2011