A198040 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 5,5,1,1,1,1,1 for x=0,1,2,3,4,5,6

1, 1, 1, 25, 121, 409, 28601, 2265417, 65067529, 5916637353, 2741353552969, 803210214721929

Offset

1,4

Comments

Every 0 is next to 0 5's, every 1 is next to 1 5'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 1's, every 6 is next to 6 1's

Links

Table of n, a(n) for n=1..12.

Example

Some solutions with all values from 0 to 6 for 7X7X7
........2..............0..............2..............0..............0
.......1.1............1.2............1.1............1.1............2.1
......2.5.1..........1.5.1..........1.5.2..........1.5.2..........1.5.1
.....2.1.1.3........4.1.1.4........4.1.1.3........3.1.1.0........4.1.1.3
....2.1.6.1.2......1.1.6.1.1......1.1.6.1.1......2.1.6.1.2......1.1.6.1.2
...1.5.1.1.5.1....1.5.1.1.5.2....1.5.1.1.5.1....1.5.1.1.5.1....1.5.1.1.5.1
..0.1.1.4.1.1.2..2.1.2.3.1.1.0..0.2.1.0.1.2.0..0.1.1.4.1.1.2..0.1.2.3.1.1.2

Crossrefs

Sequence in context: A293493 A356629 A362571 * A141722 A090159 A025283

Adjacent sequences: A198037 A198038 A198039 * A198041 A198042 A198043

Keyword

nonn

Author

R. H. Hardin Oct 20 2011

Status

approved