login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

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

%I #4 Mar 31 2012 12:37:04

%S 1,2,8,59,708,16724,663917,46008506,5748823342,1271086891701

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

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

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

%e ........2..............0..............0..............2..............2

%e .......2.2............1.1............3.0............2.2............2.2

%e ......0.4.0..........1.6.1..........0.5.0..........0.4.0..........0.4.0

%e .....0.2.2.0........0.1.1.0........0.0.0.0........0.2.2.0........0.2.2.0

%e ....1.1.2.0.0......0.2.2.0.0......0.2.2.1.1......0.0.2.1.1......1.1.2.0.0

%e ...1.6.1.3.5.0....2.4.2.0.5.3....2.4.2.1.6.1....0.5.0.1.6.1....1.6.1.0.5.0

%e ..0.1.1.0.0.0.0..2.2.0.3.0.0.0..2.2.0.0.1.1.0..0.3.0.0.1.1.0..0.1.1.0.3.0.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Jan 21 2012