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Number of n X 7 binary arrays with all 1s connected and a path of 1s from top row to bottom row.
3

%I #9 Jan 06 2023 23:22:03

%S 28,1608,143342,11457514,866126030,64270256276,4741764527414,

%T 349218174915782,25705066468491048,1891784307926020004,

%U 139221054649194353330,10245491277444041078478,753978851322477798813560,55486218768479949691575070,4083297106688472106576343018

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

%H Andrew Howroyd, <a href="/A163033/b163033.txt">Table of n, a(n) for n = 1..200</a>

%H Chaim Goodman-Strauss, <a href="/A163029/a163029.pdf">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</a> (May 21 2020)

%H Chaim Goodman-Strauss, <a href="/A163029/a163029.nb">Mma notebook to accompany the above document</a>

%F For a formula see the Goodman-Strauss links. - _N. J. A. Sloane_, May 22 2020

%Y Column 7 of A359574.

%Y Cf. A163029-A163036.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 20 2009

%E Terms a(9) and beyond from _Andrew Howroyd_, Jan 06 2023