A198037 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,1,2,1,1,0,2 for x=0,1,2,3,4,5,6

1, 5, 20, 284, 4771, 199564, 15833279, 2206064568, 659395510659

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 1'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..............0..............0..............0..............1
.......1.0............2.2............2.2............0.0............0.1
......0.5.0..........2.6.2..........2.6.2..........0.5.1..........1.3.0
.....0.0.0.0........1.2.2.1........0.2.2.1........0.0.0.1........1.4.1.0
....0.1.1.2.2......1.4.1.0.1......0.0.1.4.1......0.1.1.2.2......2.2.1.0.0
...1.3.4.2.6.2....0.3.1.0.5.0....0.5.0.1.3.0....1.3.4.2.6.2....2.6.2.0.5.0
..1.3.1.1.2.2.0..1.1.0.0.0.0.0..1.1.0.0.0.1.1..1.0.1.1.2.2.0..0.2.2.0.0.1.1

Crossrefs

Sequence in context: A032324 A321214 A198021 * A203213 A203206 A032072

Adjacent sequences: A198034 A198035 A198036 * A198038 A198039 A198040

Keyword

nonn

Author

R. H. Hardin Oct 20 2011

Status

approved