A198022 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,1,1,1,2,0,0 for x=0,1,2,3,4,5,6

1, 7, 25, 286, 16905, 487756, 84846740, 20920795356, 8772493669576, 11944015498245136

Offset

1,2

Comments

Every 0 is next to 0 4's, every 1 is next to 1 1's, every 2 is next to 2 1's, every 3 is next to 3 1's, every 4 is next to 4 2'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..10.

Example

Some solutions with all values from 0 to 6 for 7X7X7
........0..............1..............1..............1..............1
.......0.0............1.2............3.1............1.3............2.1
......0.6.0..........3.2.4..........1.0.0..........0.0.1..........4.2.3
.....0.0.0.1........1.1.2.2........1.0.6.0........0.5.1.2........2.2.1.1
....0.5.0.1.2......0.0.0.1.1......2.2.0.0.0......0.0.0.2.4......1.1.0.0.0
...1.2.0.2.4.2....0.6.0.5.0.0....1.4.1.0.5.1....0.6.0.1.2.2....3.0.5.0.6.0
..1.3.1.1.2.1.1..0.0.0.0.0.0.0..1.2.2.1.0.0.1..0.0.0.1.0.1.1..1.1.0.0.0.0.0

Crossrefs

Sequence in context: A214538 A290882 A197651 * A231579 A364644 A197721

Adjacent sequences: A198019 A198020 A198021 * A198023 A198024 A198025

Keyword

nonn

Author

R. H. Hardin Oct 20 2011

Status

approved