A197948 Number of n X n X n 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,2,0,0,2,0,0 for x=0,1,2,3,4,5,6.

1, 4, 42, 801, 32906, 2686539, 448034446, 157510353675, 113936781145405

Offset

1,2

Comments

Every 0 is next to zero 4's, every 1 is next to one 2, every 2 is next to two 0's, every 3 is next to three 0's, every 4 is next to four 2's, every 5 is next to five 0's, every 6 is next to six 0's.

Links

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

Example

Some solutions with all values from 0 to 6 for 7 X 7 X 7:
........0..............2..............2..............0..............2
.......2.0............0.0............0.0............2.0............0.0
......4.2.3..........0.6.0..........0.1.2..........4.2.0..........0.0.0
.....2.2.0.0........3.0.0.0........2.0.0.1........2.2.3.0........0.6.0.2
....0.0.1.5.0......1.0.5.0.0......4.2.5.0.0......0.0.0.5.0......3.0.0.2.4
...0.6.0.0.0.2....0.2.2.0.5.3....2.2.0.0.6.0....0.0.6.0.0.2....2.0.5.3.2.2
..2.0.0.0.0.1.1..0.2.4.2.0.0.0..0.0.3.0.0.0.0..0.0.0.0.3.1.1..0.1.0.0.0.0.0

Crossrefs

Sequence in context: A179499 A268567 A197866 * A196194 A197323 A197976

Adjacent sequences: A197945 A197946 A197947 * A197949 A197950 A197951

Keyword

nonn,more

Author

R. H. Hardin, Oct 19 2011

Status

approved