A198025 Number of n X n X n 0..6 triangular arrays with each element x equal to the number its neighbors equal to 2,0,1,1,1,1,1 for x=0,1,2,3,4,5,6.

1, 4, 4, 9, 253, 1866, 41286, 1769077, 63965087, 8815768229

Offset

1,2

Comments

Every 0 is next to 0 2's, every 1 is next to 1 0's, every 2 is next to 2 1'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 1's.

Links

Table of n, a(n) for n=1..10.

Example

Some solutions with all values from 0 to 6 for 7 X 7 X 7
........0..............0..............1..............0..............1
.......1.1............1.1............1.0............1.1............0.1
......1.4.2..........1.6.1..........1.4.0..........2.4.1..........0.4.1
.....0.1.3.1........0.1.1.0........0.1.1.1........1.3.1.0........1.1.1.0
....1.1.5.1.0......1.1.5.1.1......1.1.5.3.2......0.1.5.1.1......2.3.5.1.1
...1.6.1.1.4.0....1.4.1.3.4.1....1.6.1.1.4.1....0.4.1.1.6.1....1.4.1.1.6.1
..0.1.1.0.1.1.1..1.0.0.1.2.1.0..0.1.1.0.1.1.0..1.1.1.0.1.1.0..0.1.1.0.1.1.0

Crossrefs

Sequence in context: A059811 A202409 A091016 * A205549 A120395 A321078

Adjacent sequences: A198022 A198023 A198024 * A198026 A198027 A198028

Keyword

nonn

Author

R. H. Hardin, Oct 20 2011

Status

approved