A203118 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 6,0,0,1,1,1,1 for x=0,1,2,3,4,5,6.

1, 7, 18, 124, 2695, 43762, 2689414, 259135579, 33836053408

Offset

1,2

Comments

Every 0 is next to 0 6's, every 1 is next to 1 0's, every 2 is next to 2 0'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..9.

Example

Some solutions with all values from 0 to 6 for 7X7X7
........0..............0..............0..............1..............0
.......1.1............1.1............1.1............3.0............1.1
......1.6.1..........1.6.1..........1.5.1..........1.1.1..........1.6.1
.....0.1.1.0........0.1.1.0........0.1.3.0........0.1.5.1........0.1.1.0
....1.2.4.1.1......0.2.4.1.1......1.1.4.1.1......1.1.4.1.0......1.4.1.1.1
...1.1.0.1.5.1....2.2.1.5.1.3....2.1.3.1.6.1....1.6.1.3.2.0....1.1.0.5.1.2
..0.3.1.1.3.1.0..0.2.0.1.1.0.1..0.0.2.0.1.1.0..0.1.1.0.1.2.0..0.1.3.1.1.0.0

Crossrefs

Sequence in context: A197940 A196220 A198031 * A197656 A205078 A198023

Adjacent sequences: A203115 A203116 A203117 * A203119 A203120 A203121

Keyword

nonn

Author

R. H. Hardin, Dec 29 2011

Status

approved