A197935 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 3,4,2,2,1,0,2 for x=0,1,2,3,4,5,6

1, 2, 8, 42, 552, 10409, 368588, 25699381, 2989477610, 641763099077

Offset

1,2

Comments

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

Links

Table of n, a(n) for n=1..10.

Example

Some solutions with all values from 0 to 6 for 7X7X7
........0..............0..............0..............0..............0
.......0.2............0.0............0.0............0.0............0.0
......1.2.2..........0.5.0..........0.5.0..........0.5.0..........0.5.0
.....0.4.1.3........0.0.1.1........1.1.0.0........1.1.0.0........0.0.1.1
....0.1.1.2.2......2.2.1.4.0......1.4.0.2.2......0.4.1.2.2......0.2.2.4.1
...0.5.0.2.6.2....2.6.2.1.2.0....0.2.1.2.6.2....0.2.1.2.6.2....0.2.6.2.1.2
..0.0.0.0.2.2.0..0.2.2.3.2.2.0..0.2.2.3.2.2.0..0.2.2.3.2.2.0..0.0.2.2.3.2.2

Crossrefs

Sequence in context: A153552 A295199 A191479 * A267619 A012917 A050637

Adjacent sequences: A197932 A197933 A197934 * A197936 A197937 A197938

Keyword

nonn

Author

R. H. Hardin Oct 19 2011

Status

approved