A197656 - OEIS

%I #13 Oct 03 2025 07:23:28

%S 1,7,18,125,2161,28094,1080034,65436084,5087936600

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

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

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

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

%e ........0.2..............0.0..............3.1..............0.2

%e .......0.0.2............0.6.0............1.1.1............0.0.2

%e ......2.2.2.0..........2.0.0.0..........1.0.2.0..........2.2.2.0

%e .....0.2.5.2.0........1.2.2.2.2........2.2.4.2.0........0.2.5.2.0

%e ....0.0.2.4.2.1......1.0.4.5.2.0......0.0.2.5.2.2......0.0.2.4.2.1

%e ...0.6.0.2.0.1.3....1.1.2.2.2.0.0....0.6.0.2.2.0.2....0.6.0.2.0.1.3

%e ..0.0.0.2.1.3.1.0..0.3.1.0.0.2.2.1..0.0.0.0.2.0.0.1..2.0.0.2.1.3.1.0

%K nonn

%O 1,2

%A _R. H. Hardin_, Oct 17 2011