A198029 Number of n X n X n 0..6 triangular arrays with each element x equal to the number its neighbors equal to 6,1,2,2,0,0,2 for x=0,1,2,3,4,5,6.

1, 5, 23, 271, 7626, 388997, 43773565, 10352471548, 5131572966569

Offset

1,2

Comments

Every 0 is next to 0 6's, every 1 is next to 1 1's, every 2 is next to 2 2's, every 3 is next to 3 2's, every 4 is next to 4 0'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..9.

Example

Some solutions with all values from 0 to 6 for 7 X 7 X 7
........0..............0..............0..............0..............0
.......0.0............2.2............1.0............2.2............1.1
......2.2.1..........2.6.2..........1.0.4..........2.6.2..........2.2.0
.....0.2.3.1........1.2.2.3........0.5.0.0........1.2.2.3........2.6.2.0
....4.0.0.2.2......0.1.0.0.2......0.0.0.2.2......0.1.0.0.2......3.2.2.0.0
...0.0.5.2.6.2....4.0.0.5.2.2....0.2.3.2.6.2....0.0.0.5.2.2....2.1.0.5.0.4
..1.1.0.0.2.2.0..0.0.0.0.0.1.1..0.2.2.3.2.2.0..0.4.0.0.0.1.1..2.2.1.0.0.0.0

Crossrefs

Sequence in context: A116652 A361362 A197936 * A072104 A086797 A023275

Adjacent sequences: A198026 A198027 A198028 * A198030 A198031 A198032

Keyword

nonn

Author

R. H. Hardin, Oct 20 2011

Status

approved