A197659 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,4,5,0,0,5,1 for x=0,1,2,3,4,5,6

1, 1, 4, 12, 42, 172, 768, 4488, 28215, 202201, 1848800, 18647319, 230926401

Offset

1,3

Comments

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

Links

Table of n, a(n) for n=1..13.

Example

Some solutions for 5X5X5
......0..........0..........0..........0..........0..........0..........0
.....0.0........0.0........0.0........3.0........0.3........3.0........0.0
....3.0.3......0.0.0......0.0.0......3.0.3......0.0.3......3.0.0......0.0.3
...0.3.3.0....0.0.0.0....3.0.0.3....0.0.0.3....0.0.0.0....0.0.0.0....3.0.0.3
..0.3.0.3.0..0.3.3.0.0..0.3.0.3.0..0.3.3.0.0..0.0.3.3.0..0.0.3.3.0..0.3.0.0.0

Crossrefs

Sequence in context: A149352 A149353 A149354 * A360468 A292287 A003444

Adjacent sequences: A197656 A197657 A197658 * A197660 A197661 A197662

Keyword

nonn

Author

R. H. Hardin Oct 17 2011

Status

approved