A198004 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,3,0,1,2,0,0 for x=0,1,2,3,4,5,6

1, 4, 21, 265, 5408, 284316, 27312550, 4644354501, 1817882439930

Offset

1,2

Comments

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

Links

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

Example

Some solutions with all values from 0 to 6 for 7X7X7
........2..............0..............0..............2..............0
.......0.0............0.0............1.0............0.0............0.0
......0.6.0..........1.0.0..........3.1.0..........0.6.0..........0.6.0
.....0.0.0.2........3.1.5.0........1.0.0.0........0.0.0.2........0.0.0.1
....0.5.0.2.4......0.1.0.0.0......2.0.5.0.0......0.0.5.2.4......0.5.0.1.3
...0.0.1.2.2.2....0.2.2.0.6.0....0.2.2.0.6.0....1.1.0.0.2.2....0.0.2.2.0.1
..0.1.3.1.0.0.0..0.2.4.2.0.0.2..0.2.4.2.0.0.0..0.3.1.2.2.0.0..2.0.2.4.2.0.0

Crossrefs

Sequence in context: A032074 A197662 A203218 * A184960 A184963 A185163

Adjacent sequences: A198001 A198002 A198003 * A198005 A198006 A198007

Keyword

nonn

Author

R. H. Hardin Oct 20 2011

Status

approved