A163886 Number of nXnXn triangular binary arrays with all 1s connected, no 1 having more than 5 1s adjacent, and a path of 1s from peak vertex to anywhere on the bottom side

1, 3, 17, 182, 3750, 152096, 12228012, 1951037956, 617193546408, 386470351678894

Offset

1,2

Links

Table of n, a(n) for n=1..10.

Example

All solutions for n=3
....1......1......1......1......1......1......1......1......1......1......1..
...1.0....1.1....1.0....1.1....1.0....1.1....1.0....1.1....1.0....1.1....1.1.
..0.1.0..0.1.0..1.1.0..1.1.0..0.1.1..0.1.1..1.1.1..1.1.1..1.0.0..1.0.0..1.0.1
------
....1......1......1......1......1......1..
...0.1....0.1....0.1....0.1....0.1....1.1.
..0.1.0..1.1.0..0.1.1..1.1.1..0.0.1..0.0.1

Crossrefs

Sequence in context: A126443 A054976 A304863 * A340881 A163879 A088678

Adjacent sequences: A163883 A163884 A163885 * A163887 A163888 A163889

Keyword

nonn

Author

R. H. Hardin Aug 06 2009

Status

approved