A197998 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,3,1,1,1,0,0 for x=0,1,2,3,4,5,6

1, 1, 25, 150, 2625, 302653, 20511292, 3596730341, 2243353120897

Offset

1,3

Comments

Every 0 is next to 0 4's, every 1 is next to 1 3's, every 2 is next to 2 1'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..............0..............1..............0..............1
.......3.1............0.0............1.3............0.0............1.3
......1.4.1..........0.6.0..........1.4.1..........0.6.0..........0.0.1
.....0.2.1.3........1.0.0.0........1.3.1.0........1.0.0.0........1.0.5.0
....0.0.0.1.0......3.1.0.5.1......1.2.0.0.0......3.1.0.5.0......1.3.0.0.0
...0.6.0.0.5.0....1.4.1.0.0.3....3.0.5.0.6.0....1.4.1.0.1.1....1.4.1.0.6.0
..0.0.0.0.0.0.0..0.1.3.1.2.1.1..1.1.0.0.0.0.0..2.1.3.1.1.3.0..1.3.1.2.0.0.0

Crossrefs

Sequence in context: A198000 A247664 A168571 * A042214 A215760 A362314

Adjacent sequences: A197995 A197996 A197997 * A197999 A198000 A198001

Keyword

nonn

Author

R. H. Hardin Oct 20 2011

Status

approved