A203213 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,1,2,1,2,0,2 for x=0,1,2,3,4,5,6

1, 5, 20, 284, 4778, 200334, 15899780, 2217594703, 664289549854

Offset

1,2

Comments

Every 0 is next to 0 4's, every 1 is next to 1 1's, every 2 is next to 2 2's, every 3 is next to 3 1's, every 4 is next to 4 2'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..9.

Example

Some solutions with all values from 0 to 6 for 7X7X7
........1..............1..............0..............0..............1
.......1.3............1.3............0.0............0.0............3.1
......2.2.1..........2.2.1..........1.2.2..........0.5.0..........1.2.2
.....2.6.2.1........2.6.2.1........1.2.6.2........1.0.2.2........1.2.6.2
....0.2.2.4.2......0.2.2.4.2......2.4.2.2.0......3.1.2.6.2......2.4.2.2.0
...0.5.0.1.2.2....0.5.0.1.2.2....2.2.1.0.5.0....1.2.4.2.2.1....2.2.1.0.5.0
..0.0.0.0.1.0.0..0.0.0.1.0.1.1..1.1.3.1.0.0.0..1.2.2.1.1.0.1..1.1.3.1.0.0.0

Crossrefs

Sequence in context: A321214 A198021 A198037 * A203206 A032072 A002030

Adjacent sequences: A203210 A203211 A203212 * A203214 A203215 A203216

Keyword

nonn

Author

R. H. Hardin Dec 30 2011

Status

approved