A203200 Number of n X n X n 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,0,0,0,1,0,0 for x = 0,1,2,3,4,5,6.

1, 7, 39, 437, 8925, 305779, 18569865, 1972604754, 365315073334, 118431758924590

Offset

1,2

Comments

Every 0 is next to 0 4's, every 1 is next to 1 0's, every 2 is next to 2 0's, every 3 is next to 3 0's, every 4 is next to 4 1'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..10.

Example

Some solutions with all values from 0 to 6 for 7 X 7 X 7
........0..............1..............2..............2..............0
.......2.1............0.3............0.0............0.0............3.2
......0.1.4..........0.0.0..........0.0.0..........0.0.0..........0.0.3
.....2.3.1.1........0.0.6.0........0.6.0.0........0.0.5.0........0.6.0.0
....3.0.0.3.0......2.3.0.0.0......3.0.0.3.1......1.2.3.0.0......0.0.0.3.1
...0.0.6.0.5.0....0.1.1.3.5.0....2.0.5.2.4.1....1.4.2.0.6.0....3.5.0.3.4.1
..1.3.0.0.0.0.2..1.1.4.1.0.0.2..0.3.0.0.1.1.0..0.1.1.0.0.0.0..0.0.0.0.1.1.0

Crossrefs

Sequence in context: A035357 A207152 A135059 * A165700 A249635 A164135

Adjacent sequences: A203197 A203198 A203199 * A203201 A203202 A203203

Keyword

nonn

Author

R. H. Hardin Dec 30 2011

Status

approved