A197924 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,4,0,2,1,2,0 for x=0,1,2,3,4,5,6

1, 4, 12, 56, 413, 5592, 118914, 4075124, 230222994

Offset

1,2

Comments

Every 0 is next to 0 4's, every 1 is next to 1 4's, every 2 is next to 2 0's, every 3 is next to 3 2's, every 4 is next to 4 1's, every 5 is next to 5 2'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
........0..............0..............1..............1..............0
.......0.0............0.0............4.1............4.1............0.0
......0.6.0..........2.2.2..........1.1.0..........1.1.0..........2.2.2
.....2.0.0.0........0.5.2.0........2.3.2.0........2.3.2.0........0.2.5.0
....1.3.2.2.2......0.2.2.0.0......0.0.2.5.2......0.0.2.5.2......0.0.2.2.0
...4.1.2.5.2.0....1.1.3.0.6.0....0.6.0.2.2.0....0.6.0.2.2.0....0.6.0.3.1.1
..1.1.0.0.2.0.2..1.4.1.2.0.0.0..2.0.0.0.2.0.0..0.0.0.0.2.0.2..0.0.0.2.1.4.1

Crossrefs

Sequence in context: A019266 A009114 A144012 * A065125 A208940 A209068

Adjacent sequences: A197921 A197922 A197923 * A197925 A197926 A197927

Keyword

nonn

Author

R. H. Hardin Oct 19 2011

Status

approved