A197873 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 5,3,3,1,0,1,1 for x=0,1,2,3,4,5,6

1, 1, 16, 74, 1471, 48706, 2390688, 296920649, 60945292478, 24369107078211

Offset

1,3

Comments

Every 0 is next to 0 5'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 0'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 8X8X8
.........0................0................0................0
........1.0..............4.0..............3.1..............3.1
.......3.1.1............0.0.4............1.1.1............1.1.1
......0.1.5.3..........0.0.0.0..........1.5.1.3..........1.1.5.3
.....0.1.1.1.1........1.3.2.3.1........0.3.1.1.2........0.3.1.1.1
....0.4.3.1.6.1......0.1.1.1.1.0......4.0.1.6.1.3......4.0.2.1.6.1
...1.0.0.2.1.1.3....3.1.5.1.6.1.1....0.0.0.1.1.1.1....0.0.0.3.1.1.3
..1.3.1.1.3.1.1.0..1.1.1.3.1.1.3.0..0.0.0.1.3.0.0.0..0.4.0.0.1.0.0.1

Crossrefs

Sequence in context: A232337 A124894 A126403 * A232863 A200786 A250353

Adjacent sequences: A197870 A197871 A197872 * A197874 A197875 A197876

Keyword

nonn

Author

R. H. Hardin Oct 18 2011

Status

approved