The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A207457

(Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A207457

Number of 6 X n 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 1 0 1 vertically.
(history; published version)

#11 by Joerg Arndt at Sat Jun 23 07:21:31 EDT 2018

STATUS

reviewed

approved

#10 by Michel Marcus at Sat Jun 23 06:05:38 EDT 2018

STATUS

proposed

reviewed

#9 by Jon E. Schoenfield at Sat Jun 23 05:58:28 EDT 2018

STATUS

editing

proposed

#8 by Jon E. Schoenfield at Sat Jun 23 05:58:26 EDT 2018

EXAMPLE

.. 1.. 0.. 1.. 1.. 0.... 0.. 1.. 1.. 1.. 1.... 1.. 0.. 1.. 0.. 1.... 1.. 0.. 1.. 0.. 1

.. 1.. 1.. 0.. 1.. 1.... 0.. 1.. 0.. 1.. 1.... 0.. 1.. 1.. 1.. 0.... 1.. 0.. 1.. 0.. 1

.. 0.. 1.. 0.. 1.. 0.... 0.. 1.. 0.. 1.. 0.... 0.. 1.. 0.. 1.. 0.... 1.. 0.. 1.. 0.. 1

.. 0.. 1.. 0.. 1.. 0.... 0.. 1.. 0.. 1.. 0.... 0.. 1.. 0.. 1.. 0.... 1.. 0.. 1.. 0.. 0

STATUS

proposed

editing

#7 by Colin Barker at Sat Jun 23 05:54:54 EDT 2018

STATUS

editing

proposed

#6 by Colin Barker at Sat Jun 23 05:54:19 EDT 2018

NAME

Number of 6Xn 6 X n 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 1 0 1 vertically.

COMMENTS

Row 6 of A207453.

FORMULA

Empirical: a(n) = a(n-1) + 16*a(n-2) + 5*a(n-3) - 25*a(n-4).

Empirical g.f.: 12*x*(1 + 11*x + 5*x^2 - 25*x^3) / (1 - x - 16*x^2 - 5*x^3 + 25*x^4). - Colin Barker, Jun 23 2018

EXAMPLE

Some solutions for n=5:

CROSSREFS

Cf. A207453.

AUTHOR

R. H. Hardin , Feb 17 2012

STATUS

approved

editing

#5 by Russ Cox at Sat Mar 31 12:37:17 EDT 2012

AUTHOR

_R. H. Hardin (rhhardin(AT)att.net) _ Feb 17 2012

Discussion

Sat Mar 31

12:37

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

#4 by Ron Hardin at Fri Feb 17 19:06:48 EST 2012

STATUS

editing

approved

#3 by Ron Hardin at Fri Feb 17 19:06:45 EST 2012

LINKS

R. H. Hardin, <a href="/A207457/b207457.txt">Table of n, a(n) for n = 1..210</a>

#2 by Ron Hardin at Fri Feb 17 19:06:25 EST 2012

NAME

allocated for Ron HardinNumber of 6Xn 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 1 0 1 vertically

DATA

12, 144, 396, 2460, 9216, 46956, 196812, 932688, 4086060, 18819228, 83939328, 382160076, 1717133964, 7780911120, 35067371724, 158593617564, 715647771648, 3233959733292, 14600607874380, 65957362026192, 297845692391532

OFFSET

1,1

COMMENTS

Row 6 of A207453

FORMULA

Empirical: a(n) = a(n-1) +16*a(n-2) +5*a(n-3) -25*a(n-4)

EXAMPLE

Some solutions for n=5

..1..0..1..1..0....0..1..1..1..1....1..0..1..0..1....1..0..1..0..1

..1..1..0..1..1....0..1..0..1..1....0..1..1..1..0....1..0..1..0..1

..0..1..0..1..0....0..1..0..1..0....0..1..0..1..0....1..0..1..0..1

..0..1..0..1..0....0..1..0..1..0....0..1..0..1..0....1..0..1..0..0

KEYWORD

allocated

nonn

AUTHOR

R. H. Hardin (rhhardin(AT)att.net) Feb 17 2012

STATUS

approved

editing