A197937 Number of n X n X n 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,4,2,0,2,0,2 for x=0,1,2,3,4,5,6.

1, 2, 8, 59, 681, 15907, 608937, 40523592, 4788659552, 992065252745

Offset

1,2

Comments

Every 0 is next to zero 4's, every 1 is next to one 4, 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 0's, every 6 is next to six 2'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
.......0.0............2.0............0.0............2.0............3.0
......0.5.0..........2.2.0..........0.5.0..........2.2.0..........0.2.2
.....2.2.0.0........1.4.1.3........0.0.2.2........1.4.1.3........1.2.6.2
....2.6.2.3.0......0.2.2.0.0......0.3.2.6.2......0.2.2.0.0......2.4.2.2.0
...0.2.2.4.2.0....3.2.6.2.5.0....0.2.4.2.2.0....0.2.6.2.5.0....2.2.3.0.5.0
..0.3.0.1.2.2.0..0.0.2.2.0.0.0..0.2.2.1.0.3.0..0.0.2.2.0.0.0..0.0.0.0.0.0.0

Crossrefs

Sequence in context: A349585 A178165 A214872 * A205076 A205079 A202760

Adjacent sequences: A197934 A197935 A197936 * A197938 A197939 A197940

Keyword

nonn,more

Author

R. H. Hardin, Oct 19 2011

Status

approved