A198089 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 3,3,2,1,1,0,0 for x=0,1,2,3,4,5,6

1, 2, 5, 33, 228, 3088, 57920, 1692421, 89966033, 7774886220

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 1'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..10.

Example

Some solutions with all values from 0 to 6 for 7X7X7
........0..............0..............0..............0..............0
.......1.1............0.0............2.2............0.0............0.0
......3.4.3..........0.6.0..........0.2.0..........0.6.0..........1.0.0
.....1.1.1.1........1.0.0.0........0.5.0.1........0.0.0.1........3.1.5.0
....0.0.0.0.0......3.1.0.5.0......0.0.0.1.3......0.5.0.1.3......1.4.0.0.0
...2.2.5.0.6.0....1.4.1.0.2.0....0.6.0.1.4.1....0.2.0.1.4.1....2.1.1.0.6.0
..0.2.0.0.0.0.0..0.1.3.1.2.2.0..0.0.0.1.3.1.0..0.2.2.1.3.1.0..2.2.3.1.0.0.0

Crossrefs

Sequence in context: A357944 A019037 A019038 * A366327 A197974 A208985

Adjacent sequences: A198086 A198087 A198088 * A198090 A198091 A198092

Keyword

nonn

Author

R. H. Hardin Oct 21 2011

Status

approved