A197854 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 2,4,3,1,1,1,0 for x=0,1,2,3,4,5,6

1, 1, 4, 23, 99, 3534, 128172, 3539360, 652403517, 143579369777

Offset

1,3

Comments

Every 0 is next to 0 2's, every 1 is next to 1 4's, every 2 is next to 2 3's, every 3 is next to 3 1's, every 4 is next to 4 1's, every 5 is next to 5 1'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 8X8X8
.........1................1................1................0
........4.1..............1.4..............4.1..............0.0
.......1.1.3............3.1.1............1.1.3............0.6.0
......0.3.2.1..........1.2.3.0..........2.3.3.1..........1.0.0.1
.....0.0.1.4.1........1.4.1.0.1........1.3.1.4.1........1.4.1.1.4
....0.6.0.1.5.1......0.0.1.5.1.4......4.1.5.1.0.0......3.3.1.5.1.1
...0.0.0.1.1.1.4....0.6.0.1.1.1.1....1.1.1.1.0.6.0....1.1.3.3.1.1.3
..0.0.0.1.4.1.1.1..0.0.0.1.4.1.3.0..0.3.1.4.1.0.0.0..1.4.1.2.1.4.1.0

Crossrefs

Sequence in context: A317006 A227260 A316871 * A317599 A122738 A038381

Adjacent sequences: A197851 A197852 A197853 * A197855 A197856 A197857

Keyword

nonn

Author

R. H. Hardin Oct 18 2011

Status

approved