A163033 Number of n X 7 binary arrays with all 1s connected and a path of 1s from top row to bottom row.

28, 1608, 143342, 11457514, 866126030, 64270256276, 4741764527414, 349218174915782, 25705066468491048, 1891784307926020004, 139221054649194353330, 10245491277444041078478, 753978851322477798813560, 55486218768479949691575070, 4083297106688472106576343018

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 7 of A359574.

Cf. A163029-A163036.

Sequence in context: A042515 A042512 A285029 * A060335 A335371 A335370

Adjacent sequences: A163030 A163031 A163032 * A163034 A163035 A163036

Keyword

nonn

Author

R. H. Hardin, Jul 20 2009

Extensions

Terms a(9) and beyond from Andrew Howroyd, Jan 06 2023

Status

approved