A197898 Number of n X n X n 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,3,2,0,1,1,0 for x=0,1,2,3,4,5,6.

1, 2, 20, 246, 6587, 330041, 36098316, 7888993357, 3400193363030

Offset

1,2

Comments

Every 0 is next to 0 4's, every 1 is next to 1 3'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 1's, every 6 is next to 6 0's.

Links

Table of n, a(n) for n=1..9.

Example

Some solutions with all values from 0 to 6 for 8 X 8 X 8:
.........1................2................0................0
........3.0..............2.2..............0.0..............0.0
.......0.0.2............0.0.0............0.3.1............0.6.0
......1.3.2.2..........3.0.6.0..........0.1.1.4..........3.0.0.0
.....4.1.0.3.0........0.1.0.0.1........3.1.5.1.1........0.1.1.3.2
....1.1.5.1.0.0......0.1.5.1.0.3......0.0.0.1.3.0......0.1.5.0.2.2
...0.3.1.1.0.6.0....0.3.1.1.3.0.0....0.6.0.2.0.0.0....0.3.1.1.3.0.3
..0.0.0.0.3.0.0.0..0.0.1.4.1.0.3.1..0.0.0.2.2.0.3.1..0.0.1.4.1.0.0.0

Crossrefs

Sequence in context: A361964 A337856 A296660 * A293471 A109106 A099976

Adjacent sequences: A197895 A197896 A197897 * A197899 A197900 A197901

Keyword

nonn,more

Author

R. H. Hardin, Oct 19 2011

Status

approved