A192372 Half the number of nXnXn triangular binary arrays with every element equal to at least half of its neighbors

1, 1, 4, 13, 56, 332, 2859, 32670, 502898, 10413631, 288505532, 10693831039, 529613478763, 35014302519080, 3088276953893989, 363246920564138364

Offset

1,3

Links

Table of n, a(n) for n=1..16.

Example

Some solutions for 9X9X9 with a(1,1)=0 and 22 1's
..........0..................0..................0..................0
.........1.0................0.0................0.0................1.0
........1.1.0..............1.1.1..............0.0.0..............1.1.0
.......1.1.0.0............1.1.1.1............0.0.1.1............1.1.1.0
......1.1.0.0.0..........0.1.1.1.0..........0.0.1.1.1..........1.1.1.0.0
.....1.1.0.0.1.1........0.0.1.1.0.0........0.0.1.1.1.1........1.1.1.0.0.0
....1.1.1.0.1.1.1......0.0.0.0.0.0.0......0.0.0.1.1.1.1......0.0.1.1.0.0.0
...0.1.1.0.0.1.1.0....0.0.0.0.0.1.1.0....0.0.0.1.1.1.0.0....0.0.0.1.1.1.1.0
..0.0.0.0.0.0.1.0.0..1.1.1.1.1.1.1.1.0..1.1.1.1.1.1.0.0.0..0.0.0.0.1.1.1.1.0

Crossrefs

Sequence in context: A344418 A159595 A009300 * A304670 A316117 A149477

Adjacent sequences: A192369 A192370 A192371 * A192373 A192374 A192375

Keyword

nonn

Author

R. H. Hardin Jun 29 2011

Status

approved