A163879 Number of nXnXn triangular binary arrays with all 1s connected, and a path of 1s from peak vertex to anywhere on the bottom side

1, 3, 17, 186, 3976, 168568, 14284278, 2422957692, 821682359716, 556064922090416

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: A304863 A163886 A340881 * A088678 A195067 A158885

Adjacent sequences: A163876 A163877 A163878 * A163880 A163881 A163882

Keyword

nonn

Author

R. H. Hardin Aug 06 2009

Status

approved