login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Today, Nov 11 2014, is the 4th anniversary of the launch of the new OEIS web site. 70,000 sequences have been added in these four years, all edited by volunteers. Please make a donation (tax deductible in the US) to help keep the OEIS running.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A233699 Ideal rectangle side length for packing squares with side 1/n. 0
7, 7, 3, 9, 2, 0, 8, 8, 0, 2, 1, 7, 8, 7, 1, 7, 2, 3, 7, 6, 6, 8, 9, 8, 1, 9, 9, 9, 7, 5, 2, 3, 0, 2, 2, 7, 0, 6, 2, 7, 3, 9, 8, 8, 1, 4, 4, 8, 1, 5, 8, 1, 2, 5, 2, 8, 2, 6, 6, 9, 8, 7, 5, 2, 4, 4, 0, 0, 8, 9, 6, 4, 4, 8, 3, 8, 4, 1, 0, 4, 8, 6 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

With one side s_1 = 1/2+1/3 = 5/6, and with area A = s_1*s_2 = sum(n=2,infinity, 1/n^2) = Pi^2/6 - 1 = A013661 - 1, the second side, s_2, can be solved.

The current packing record holder is Marc Paulhus, who developed a packing algorithm (see Link).

LINKS

Table of n, a(n) for n=0..81.

M. M. Paulhus, An Algorithm for Packing Squares, Journal of Combinatorial Theory,1998, A,82(2), pages 147-157.

Pegg Jr, Ed., Wolfram Demonstrations Project, Packing Squares with Side 1/n

Wikipedia, Packing Squares with Side 1/n

FORMULA

Equals (Pi^2-6)/5 = A164102/10 - 6/5.

EXAMPLE

0.77392088021787172376689819997523022706273988144815812528266987524400896448...

PROG

(PARI) (Pi^2-6)/5;

CROSSREFS

Sequence in context: A063736 A212299 A193751 * A220052 A153204 A199508

Adjacent sequences:  A233696 A233697 A233698 * A233700 A233701 A233702

KEYWORD

nonn,cons

AUTHOR

John W. Nicholson, Dec 15 2013

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified November 23 19:50 EST 2014. Contains 249865 sequences.