A197851 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 2,2,1,0,0,0,0 for x=0,1,2,3,4,5,6

1, 4, 10, 103, 1487, 43030, 2321125, 232682724, 43647140344, 15284990897875, 9995202105923896, 12206122815436711870

Offset

1,2

Comments

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

Links

Table of n, a(n) for n=1..12.

Example

Some solutions with all values from 0 to 6 for 6X6X6
.......2............2............0............0............2............0
......1.1..........1.1..........0.4..........3.0..........1.1..........0.0
.....0.0.3........0.0.0........0.0.0........0.4.0........0.4.0........0.4.3
....3.5.0.0......0.6.0.0......0.6.0.3......0.0.5.0......0.0.0.0......0.5.0.0
...0.0.0.6.0....0.0.0.5.3....1.0.0.5.0....0.6.0.0.1....0.6.0.5.0....1.0.0.6.0
..0.0.4.0.0.0..0.4.0.0.0.0..2.1.3.0.0.0..0.0.0.3.1.2..0.0.0.3.0.0..2.1.0.0.0.0

Crossrefs

Sequence in context: A370987 A245304 A298953 * A197865 A267128 A098449

Adjacent sequences: A197848 A197849 A197850 * A197852 A197853 A197854

Keyword

nonn

Author

R. H. Hardin Oct 18 2011

Status

approved