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A197924 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,4,0,2,1,2,0 for x=0,1,2,3,4,5,6 0

%I

%S 1,4,12,56,413,5592,118914,4075124,230222994

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

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

%e Some solutions with all values from 0 to 6 for 7X7X7

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

%e .......0.0............0.0............4.1............4.1............0.0

%e ......0.6.0..........2.2.2..........1.1.0..........1.1.0..........2.2.2

%e .....2.0.0.0........0.5.2.0........2.3.2.0........2.3.2.0........0.2.5.0

%e ....1.3.2.2.2......0.2.2.0.0......0.0.2.5.2......0.0.2.5.2......0.0.2.2.0

%e ...4.1.2.5.2.0....1.1.3.0.6.0....0.6.0.2.2.0....0.6.0.2.2.0....0.6.0.3.1.1

%e ..1.1.0.0.2.0.2..1.4.1.2.0.0.0..2.0.0.0.2.0.0..0.0.0.0.2.0.2..0.0.0.2.1.4.1

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 19 2011

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Last modified January 17 11:57 EST 2022. Contains 350394 sequences. (Running on oeis4.)