A197949 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 3,3,2,1,0,0,2 for x=0,1,2,3,4,5,6

1, 2, 8, 56, 580, 12366, 444569, 29249179, 3524964899, 767105714843

Offset

1,2

Comments

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

Links

Table of n, a(n) for n=1..10.

Example

Some solutions with all values from 0 to 6 for 7X7X7
........1..............0..............0..............0..............0
.......3.1............0.4............2.2............2.2............4.0
......1.2.2..........0.0.0..........2.6.2..........2.6.2..........0.0.4
.....0.2.6.2........0.0.0.0........0.2.2.1........0.2.2.0........0.5.0.0
....0.0.2.2.0......1.2.2.0.0......0.4.0.1.3......1.0.0.0.0......4.0.2.2.1
...0.5.4.0.0.4....3.2.6.2.5.0....2.0.5.0.2.1....3.2.2.5.0.0....0.0.2.6.2.3
..0.0.0.0.0.0.0..1.1.2.2.0.0.0..2.2.0.0.2.2.0..1.1.2.0.0.4.0..0.0.0.2.2.1.1

Crossrefs

Sequence in context: A372160 A349562 A325290 * A363589 A243953 A005439

Adjacent sequences: A197946 A197947 A197948 * A197950 A197951 A197952

Keyword

nonn

Author

R. H. Hardin Oct 19 2011

Status

approved