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

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

%S 1,1,16,74,1471,48706,2390688,296920649,60945292478,24369107078211

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

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

%e Some solutions with all values from 0 to 6 for 8X8X8

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

%e ........1.0..............4.0..............3.1..............3.1

%e .......3.1.1............0.0.4............1.1.1............1.1.1

%e ......0.1.5.3..........0.0.0.0..........1.5.1.3..........1.1.5.3

%e .....0.1.1.1.1........1.3.2.3.1........0.3.1.1.2........0.3.1.1.1

%e ....0.4.3.1.6.1......0.1.1.1.1.0......4.0.1.6.1.3......4.0.2.1.6.1

%e ...1.0.0.2.1.1.3....3.1.5.1.6.1.1....0.0.0.1.1.1.1....0.0.0.3.1.1.3

%e ..1.3.1.1.3.1.1.0..1.1.1.3.1.1.3.0..0.0.0.1.3.0.0.0..0.4.0.0.1.0.0.1

%K nonn

%O 1,3

%A _R. H. Hardin_ Oct 18 2011