A163883 - OEIS

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A163883

Number of nXnXn triangular binary arrays with all 1s connected, no 1 having more than 3 1s adjacent, and all vertexes 1

1, 1, 3, 18, 213, 4432, 167039, 11325521, 1375054664

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,3

LINKS

Table of n, a(n) for n=1..9.

EXAMPLE

All solutions for n=4

.....1........1........1........1........1........1........1........1...

....1.1......1.1......1.1......1.1......1.0......1.0......1.0......1.0..

...1.0.1....1.0.1....1.0.1....1.0.1....1.1.1....1.1.0....0.1.1....0.1.0.

..1.0.0.1..1.0.1.1..1.1.0.1..1.1.1.1..1.0.0.1..1.0.1.1..1.1.0.1..1.1.1.1

------

.....1........1........1........1........1........1........1........1...

....0.1......0.1......0.1......0.1......1.0......1.1......1.0......0.1..

...1.1.1....1.1.0....0.1.1....0.1.0....1.0.0....1.0.0....1.0.1....0.0.1.

..1.0.0.1..1.0.1.1..1.1.0.1..1.1.1.1..1.1.1.1..1.1.1.1..1.1.1.1..1.1.1.1

------

.....1........1...

....1.1......0.1..

...0.0.1....1.0.1.

..1.1.1.1..1.1.1.1

CROSSREFS

Sequence in context: A217902 A356614 A183241 * A319580 A132727 A111841

Adjacent sequences: A163880 A163881 A163882 * A163884 A163885 A163886

KEYWORD

nonn

AUTHOR

R. H. Hardin Aug 06 2009

STATUS

approved