A198041 - OEIS

%I #6 Mar 18 2023 23:26:24

%S 1,5,23,190,3032,91604,4639102,420891042,69477009170

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

%C Every 0 is next to 0 4's, every 1 is next to 1 0's, every 2 is next to 2 2's, every 3 is next to 3 0's, every 4 is next to 4 1'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 7 X 7 X 7

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

%e .......1.1............0.0............1.1............1.1............1.1

%e ......2.4.1..........0.5.0..........1.6.1..........1.4.2..........1.4.1

%e .....2.2.1.0........0.0.3.0........0.1.1.0........0.1.2.2........0.2.2.0

%e ....0.0.1.1.1......1.2.2.1.1......1.2.2.3.0......1.1.1.0.0......0.0.2.1.1

%e ...0.5.3.1.6.1....1.4.2.1.6.1....1.4.2.0.5.0....1.6.1.3.5.0....0.5.3.1.6.1

%e ..0.0.0.0.1.1.0..0.1.1.0.1.1.0..0.1.1.0.0.0.0..0.1.1.0.0.0.0..0.0.0.0.1.1.0

%K nonn

%O 1,2

%A _R. H. Hardin_, Oct 20 2011