A207156 Number of n X n X n 0..6 triangular arrays with each element x equal to the number its neighbors equal to 5,0,1,0,0,1,1 for x=0,1,2,3,4,5,6.

1, 4, 22, 216, 3911, 121953, 6546321, 615828252, 103476283764

Offset

1,2

Comments

Every 0 is next to zero 5's, every 1 is next to one 0, every 2 is next to two 1's, every 3 is next to three 0's, every 4 is next to four 0's, every 5 is next to five 1's, every 6 is next to six 1's.

Links

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

Example

Some solutions with all values from 0 to 6 for 7 X 7 X 7:
........0..............0..............0..............0..............0
.......1.2............4.0............0.4............1.1............1.1
......1.1.0..........0.0.2..........2.0.0..........1.6.1..........1.6.1
.....0.1.1.1........0.3.1.1........1.1.3.0........0.1.1.0........0.1.1.0
....1.1.5.1.2......1.1.5.1.0......0.1.5.1.1......1.1.5.3.0......0.3.5.1.1
...1.6.1.3.0.0....1.6.1.1.1.2....2.1.1.1.6.1....1.1.1.1.0.4....4.0.1.1.1.1
..0.1.1.0.0.4.0..0.1.1.0.1.1.0..0.1.1.0.1.1.0..0.2.0.1.2.0.0..0.0.2.1.0.2.0

Crossrefs

Sequence in context: A113385 A356285 A120482 * A197999 A197963 A260296

Adjacent sequences: A207153 A207154 A207155 * A207157 A207158 A207159

Keyword

nonn

Author

R. H. Hardin, Feb 15 2012

Status

approved