A198160 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 2,3,3,1,1,0,1 for x=0,1,2,3,4,5,6

1, 1, 13, 54, 846, 25780, 859573, 86163253, 12266096117, 3194757527455

Offset

1,3

Comments

Every 0 is next to 0 2's, every 1 is next to 1 3'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 0's, every 6 is next to 6 1'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............1.3............0.0............1.1
......3.2.3..........0.5.0..........4.1.1..........0.5.0..........3.2.3
.....1.1.1.1........1.3.0.1........1.1.6.1........1.0.3.1........1.1.1.1
....1.6.1.0.0......4.1.1.1.3......0.3.1.1.3......3.1.1.1.4......0.0.1.6.1
...3.1.1.3.5.0....1.1.6.1.2.1....0.5.0.1.2.1....1.2.1.6.1.1....0.5.3.1.1.3
..0.1.4.1.0.0.0..0.3.1.1.3.1.0..0.0.0.1.3.1.0..0.1.3.1.1.3.0..0.0.0.1.4.1.0

Crossrefs

Sequence in context: A195024 A071230 A027000 * A029531 A158485 A274973

Adjacent sequences: A198157 A198158 A198159 * A198161 A198162 A198163

Keyword

nonn

Author

R. H. Hardin Oct 21 2011

Status

approved