A203214 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,0,2,0,2,0,1 for x=0,1,2,3,4,5,6

1, 5, 23, 187, 3000, 90699, 4571442, 415131937, 68838186962

Offset

1,2

Comments

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

Links

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

Example

Some solutions with all values from 0 to 6 for 7X7X7
........0..............0..............2..............0..............0
.......0.0............1.1............2.2............1.1............0.0
......0.5.0..........1.6.1..........1.4.1..........1.6.1..........0.5.0
.....0.3.0.0........0.1.1.0........0.2.2.0........0.1.1.0........0.0.3.0
....1.1.2.2.1......1.2.2.3.0......0.0.2.1.1......0.3.2.2.1......1.2.2.1.1
...1.6.1.2.4.2....2.4.2.0.5.0....0.5.3.1.6.1....0.5.0.2.4.2....2.4.2.1.6.1
..0.1.1.0.1.2.2..2.2.1.0.0.0.0..0.0.0.0.1.1.0..0.0.0.0.1.2.2..2.2.1.0.1.1.0

Crossrefs

Sequence in context: A296840 A203204 A203119 * A197965 A198041 A197922

Adjacent sequences: A203211 A203212 A203213 * A203215 A203216 A203217

Keyword

nonn

Author

R. H. Hardin Dec 30 2011

Status

approved