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

%I #4 Mar 31 2012 12:36:21

%S 5,64,320,5000,191008,14760960,2327810048,744138184192,

%T 482125942079488,633412084252934144,1687400357268217397248,

%U 9114708361014996399816704,99830224938625064018120802304

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

%e Some solutions for 4X4X4

%e .....2........3........4........2........4........3........2........3

%e ....2.3......3.2......4.4......2.2......1.1......2.3......4.4......2.2

%e ...3.2.3....3.2.3....4.4.4....2.3.3....1.1.4....2.2.2....1.1.1....2.2.2

%e ..4.3.2.3..4.3.3.4..4.4.1.4..2.3.2.2..1.4.4.2..3.2.2.3..3.1.4.1..3.3.2.1

%K nonn

%O 1,1

%A _R. H. Hardin_ Jul 17 2011