A198021 Number of n X n X n 0..6 triangular arrays with each element x equal to the number its neighbors equal to 5,1,2,1,2,2,0 for x=0,1,2,3,4,5,6.

1, 5, 20, 278, 4448, 175624, 12844710, 1595718051, 427062500640

Offset

1,2

Comments

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

Links

Table of n, a(n) for n=1..9.

Example

Some solutions with all values from 0 to 6 for 7 X 7 X 7
........0..............0..............0..............0..............0
.......2.2............0.0............0.0............2.2............0.0
......2.0.2..........0.6.0..........0.6.0..........2.5.2..........0.6.0
.....0.2.4.2........0.0.0.1........1.0.0.0........2.4.2.0........1.0.0.0
....0.0.2.5.2......2.2.2.2.1......1.2.2.2.2......2.0.2.0.0......1.2.2.2.2
...0.6.0.2.2.1....2.5.4.5.2.3....3.2.0.4.5.2....1.2.2.0.6.0....3.2.5.4.0.2
..0.0.0.1.1.3.1..0.2.2.2.2.1.1..1.1.2.2.2.2.0..1.3.1.1.0.0.0..1.1.2.2.2.2.0

Crossrefs

Sequence in context: A077817 A032324 A321214 * A198037 A203213 A203206

Adjacent sequences: A198018 A198019 A198020 * A198022 A198023 A198024

Keyword

nonn

Author

R. H. Hardin, Oct 20 2011

Status

approved