A163036 Number of n X 10 binary arrays with all 1s connected and a path of 1s from top row to bottom row.

55, 23527, 18914231, 11903604235, 6715679348165, 3637116511064523, 1936966961305957565, 1023656573049624648679, 538998135170211905321277, 283293243539676951470723543, 148763441875743444731053902081, 78083977901639001952782562865857, 40976064432127905353169319569768547

Offset

1,1

Links

Andrew Howroyd, Table of n, a(n) for n = 1..200

Chaim Goodman-Strauss, Notes on the number of m × n binary arrays with all 1’s connected and a path of 1’s from top row to bottom row (May 21 2020)

Chaim Goodman-Strauss, Mma notebook to accompany the above document

Formula

For a formula see the Goodman-Strauss links. - N. J. A. Sloane, May 22 2020

Crossrefs

Column 10 of A359574.

Cf. A163029-A163035.

Sequence in context: A221772 A221123 A231826 * A358785 A033512 A201008

Adjacent sequences: A163033 A163034 A163035 * A163037 A163038 A163039

Keyword

nonn

Author

R. H. Hardin, Jul 20 2009

Extensions

a(7) onward from Andrew Howroyd, Dec 24 2025

Status

approved