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Revision History for A163034

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Number of n X 8 binary arrays with all 1s connected and a path of 1s from top row to bottom row.
(history; published version)

#8 by Michael De Vlieger at Fri Jan 06 23:21:59 EST 2023

STATUS

proposed

approved

#7 by Andrew Howroyd at Fri Jan 06 21:57:53 EST 2023

STATUS

editing

proposed

#6 by Andrew Howroyd at Fri Jan 06 21:33:51 EST 2023

NAME

Number of nX8 n X 8 binary arrays with all 1s connected and a path of 1s from top row to bottom row.

DATA

36, 3968, 733512, 116648336, 17234589848, 2481063626002, 353883736096148, 50301538415794232, 7140496309756236272, 1013108119964866470278, 143713897214120554999482, 20384925139787491684594856, 2891390846534568194577474354, 410109224260079991594244323232

LINKS

Andrew Howroyd, <a href="/A163034/b163034.txt">Table of n, a(n) for n = 1..200</a>

CROSSREFS

Column 8 of A359574.

AUTHOR

R. H. Hardin , Jul 20 2009

EXTENSIONS

Terms a(8) and beyond from Andrew Howroyd, Jan 06 2023

STATUS

approved

editing

#5 by N. J. A. Sloane at Fri May 22 00:13:40 EDT 2020

STATUS

editing

approved

#4 by N. J. A. Sloane at Fri May 22 00:13:38 EDT 2020

LINKS

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)

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

FORMULA

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

CROSSREFS

Cf. A163029-A163036.

STATUS

approved

editing

#3 by Russ Cox at Sat Mar 31 12:35:32 EDT 2012

AUTHOR

_R. H. Hardin (rhhardin(AT)att.net) _ Jul 20 2009

Discussion

Sat Mar 31

12:35

OEIS Server: https://oeis.org/edit/global/875

#2 by N. J. A. Sloane at Sat Oct 02 03:00:00 EDT 2010

KEYWORD

nonn,new

nonn

AUTHOR

Ron R. H. Hardin (rhhardin(AT)att.net) Jul 20 2009

#1 by N. J. A. Sloane at Tue Jun 01 03:00:00 EDT 2010

NAME

Number of nX8 binary arrays with all 1s connected and a path of 1s from top row to bottom row

DATA

36, 3968, 733512, 116648336, 17234589848, 2481063626002, 353883736096148

OFFSET

1,1

KEYWORD

nonn

AUTHOR

Ron Hardin (rhhardin(AT)att.net) Jul 20 2009

STATUS

approved