A203199 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 3,3,2,1,0,0,0 for x=0,1,2,3,4,5,6

1, 2, 8, 56, 631, 14218, 565370, 42020324, 5821586810, 1491023110987, 707175291089731

Offset

1,2

Comments

Every 0 is next to 0 3's, every 1 is next to 1 3's, every 2 is next to 2 2's, every 3 is next to 3 1's, every 4 is next to 4 0's, every 5 is next to 5 0's, every 6 is next to 6 0's

Links

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

Example

Some solutions with all values from 0 to 6 for 7X7X7
........0..............0..............1..............1..............0
.......0.0............0.0............3.1............1.3............1.2
......0.5.0..........0.0.4..........2.1.0..........0.2.1..........3.2.2
.....0.0.4.0........0.5.0.0........2.2.0.0........0.2.2.0........1.1.0.0
....0.6.0.2.2......0.0.4.0.0......0.0.5.0.0......0.5.0.0.4......0.0.0.6.0
...2.0.0.1.2.0....0.6.0.2.1.1....2.2.0.0.6.0....4.0.0.6.0.0....0.5.5.0.0.0
..2.2.0.1.3.1.0..0.0.0.2.2.3.1..0.2.0.4.0.0.0..0.0.0.0.0.4.0..0.0.0.0.0.4.0

Crossrefs

Sequence in context: A005439 A128814 A108208 * A348875 A302999 A135079

Adjacent sequences: A203196 A203197 A203198 * A203200 A203201 A203202

Keyword

nonn

Author

R. H. Hardin Dec 30 2011

Status

approved