A198050 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,3,0,1,1,0,0 for x=0,1,2,3,4,5,6

1, 4, 21, 268, 5693, 304842, 29792961, 5250711122, 2139491424754

Offset

1,2

Comments

Every 0 is next to 0 4's, every 1 is next to 1 3's, every 2 is next to 2 0's, every 3 is next to 3 1'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..9.

Example

Some solutions with all values from 0 to 6 for 7X7X7
........1..............1..............1..............0..............0
.......1.3............1.3............1.3............1.1............0.0
......1.4.1..........1.4.1..........1.4.1..........0.3.1..........0.6.0
.....0.3.1.2........1.3.1.0........3.1.2.2........0.5.0.1........0.0.0.0
....0.1.0.0.0......0.0.0.0.0......1.2.0.0.0......0.0.0.3.1......0.0.1.0.2
...0.5.0.0.6.0....3.1.5.0.6.0....0.0.5.0.6.0....0.6.0.1.4.1....0.5.3.1.1.3
..2.0.0.0.0.0.2..1.1.0.0.0.0.2..2.0.0.0.0.0.2..2.0.0.2.1.3.1..0.0.0.1.4.1.1

Crossrefs

Sequence in context: A006822 A165627 A324954 * A270482 A126458 A319363

Adjacent sequences: A198047 A198048 A198049 * A198051 A198052 A198053

Keyword

nonn

Author

R. H. Hardin Oct 20 2011

Status

approved