A197855 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,5,2,1,1,1,2 for x=0,1,2,3,4,5,6

1, 2, 5, 18, 139, 1407, 36344, 1361785, 74076700, 9299546681, 1791187843433

Offset

1,2

Comments

Every 0 is next to 0 4's, every 1 is next to 1 5's, every 2 is next to 2 2'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 2's

Links

Table of n, a(n) for n=1..11.

Example

Some solutions with all values from 0 to 6 for 8X8X8
.........0................0................0................0
........1.1..............2.2..............1.1..............0.0
.......1.5.1............1.2.0............1.5.0............2.2.0
......2.2.1.0..........1.5.1.0..........3.1.1.0..........2.6.2.0
.....2.6.2.3.0........0.1.1.3.2........0.1.4.2.2........0.2.2.0.0
....1.2.2.1.1.0......2.2.4.1.2.2......1.5.1.2.6.2......1.1.4.1.1.0
...1.5.1.1.5.0.2....2.6.2.1.5.1.0....2.1.1.0.2.2.0....1.5.1.1.5.0.0
..0.1.1.4.1.1.2.2..0.2.2.0.1.1.0.0..2.2.0.0.0.0.0.0..0.1.0.3.1.1.0.0

Crossrefs

Sequence in context: A125625 A281532 A097584 * A289126 A062097 A356366

Adjacent sequences: A197852 A197853 A197854 * A197856 A197857 A197858

Keyword

nonn

Author

R. H. Hardin Oct 18 2011

Status

approved