A163032 Number of n X 6 binary arrays with all 1s connected and a path of 1s from top row to bottom row.

21, 639, 27651, 1111283, 42972329, 1642690309, 62618577481, 2385542862643, 90870669971589, 3461426734215747, 131852221160935917, 5022507165784282263, 191317198008071782069, 7287650933960562176059, 277601073047629123048799, 10574375404737019213183521

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 6 of A359574.

Cf. A163029-A163036.

Sequence in context: A327681 A141265 A025752 * A209264 A012501 A027408

Adjacent sequences: A163029 A163030 A163031 * A163033 A163034 A163035

Keyword

nonn

Author

R. H. Hardin, Jul 20 2009

Extensions

Terms a(11) and beyond from Andrew Howroyd, Jan 06 2023

Status

approved