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A163713 Number of n X n binary arrays with all 1s connected, a path of 1s from top row to bottom row, and no 1 having more than two 1s adjacent 0
1, 7, 48, 531, 9012, 224493, 8379953 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..7.

EXAMPLE

All solutions for n=3

...1.0.0...1.0.0...1.1.0...1.1.0...1.1.1...1.1.1...1.1.1...1.1.1...0.0.1

...1.0.0...1.0.0...1.0.0...1.0.0...1.0.0...1.0.0...1.0.1...1.0.1...0.0.1

...1.0.0...1.1.0...1.0.0...1.1.0...1.0.0...1.1.0...1.0.0...1.1.0...0.0.1

------

...0.0.1...0.1.1...0.1.1...1.1.1...1.1.1...1.1.1...1.1.1...0.1.0...0.1.0

...0.0.1...0.0.1...0.0.1...0.0.1...0.0.1...1.0.1...1.0.1...0.1.0...0.1.0

...0.1.1...0.0.1...0.1.1...0.0.1...0.1.1...0.0.1...0.1.1...0.1.0...0.1.1

------

...0.1.0...0.1.1...0.1.1...0.1.1...1.1.0...1.1.0...1.1.0...1.0.0...1.0.0

...0.1.0...0.1.0...0.1.0...0.1.0...0.1.0...0.1.0...0.1.0...1.1.0...1.1.0

...1.1.0...0.1.0...0.1.1...1.1.0...0.1.0...0.1.1...1.1.0...0.1.0...0.1.1

------

...1.0.0...1.1.0...1.1.1...1.1.1...1.1.1...0.0.1...0.1.1...1.1.1...0.0.1

...1.0.0...1.0.0...1.0.0...1.0.1...1.0.1...0.0.1...0.0.1...0.0.1...0.1.1

...1.1.1...1.1.1...1.1.1...1.1.1...1.0.1...1.1.1...1.1.1...1.1.1...0.1.0

------

...0.0.1...0.1.0...1.1.0...0.1.0...0.1.1...1.0.0...1.0.0...1.1.0...0.0.1

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

...1.1.0...0.0.1...0.0.1...1.0.0...1.0.0...0.0.1...1.1.1...1.1.1...1.1.1

------

...0.1.1...0.0.1...1.0.1

...1.0.1...1.1.1...1.0.1

...1.1.1...1.0.0...1.1.1

CROSSREFS

Sequence in context: A186653 A231378 A024092 * A192897 A317014 A330329

Adjacent sequences:  A163710 A163711 A163712 * A163714 A163715 A163716

KEYWORD

nonn

AUTHOR

R. H. Hardin Aug 03 2009

STATUS

approved

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Last modified June 13 00:57 EDT 2021. Contains 344980 sequences. (Running on oeis4.)