A203109 Number of n X n X n 0..6 triangular arrays with each element x equal to the number of its neighbors equal to 6,6,2,0,2,2,1 for x=0,1,2,3,4,5,6.

1, 2, 8, 53, 540, 9637, 299148, 15720596, 1434338838, 227708662197

Offset

1,2

Comments

Every 0 is next to zero 6's, every 1 is next to one 6, every 2 is next to two 2's, every 3 is next to three 0's, every 4 is next to four 2's, every 5 is next to five 2's, every 6 is next to six 1'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..............0..............0..............0..............0
.......1.1............2.2............1.1............1.1............2.2
......1.6.1..........2.5.2..........1.6.1..........1.6.1..........2.5.2
.....0.1.1.0........0.2.4.2........0.1.1.0........0.1.1.0........2.4.2.0
....0.2.2.2.2......1.1.2.0.2......0.2.2.2.2......2.2.2.2.0......2.5.2.1.1
...3.2.0.4.5.2....1.6.1.2.2.0....3.2.5.4.0.2....2.5.4.5.2.3....0.2.2.1.6.1
..0.0.2.2.2.2.0..0.1.1.0.0.3.0..0.0.2.2.2.2.0..0.2.2.2.2.0.0..0.3.0.0.1.1.0

Crossrefs

Sequence in context: A183945 A193651 A195979 * A197795 A327354 A197931

Adjacent sequences: A203106 A203107 A203108 * A203110 A203111 A203112

Keyword

nonn,more

Author

R. H. Hardin, Dec 29 2011

Status

approved