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Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 5,1,1,1,4,0,3 for x=0,1,2,3,4,5,6
0

%I #6 Mar 31 2012 12:36:30

%S 1,7,25,279,15573,403867,64115297,13562905311,4563971866877,

%T 5430296531364427,7765379732369266217

%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 5,1,1,1,4,0,3 for x=0,1,2,3,4,5,6

%C Every 0 is next to 0 5's, every 1 is next to 1 1's, every 2 is next to 2 1's, every 3 is next to 3 1's, every 4 is next to 4 4's, every 5 is next to 5 0's, every 6 is next to 6 3's

%e Some solutions for 5X5X5

%e ......0..........0..........1..........0..........0..........0..........1

%e .....1.1........0.1........1.0........2.1........2.1........1.0........0.1

%e ....2.0.0......0.1.2......0.2.0......0.1.0......2.1.2......2.1.0......0.0.0

%e ...1.3.1.2....1.0.0.2....1.1.3.1....0.2.0.1....1.3.0.2....2.2.0.2....0.0.2.1

%e ..2.1.0.1.0..0.1.2.1.1..0.2.2.1.0..1.1.2.1.0..0.1.2.1.1..1.1.2.1.1..1.1.2.1.2

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 16 2011