This site is supported by donations to The OEIS Foundation.

 Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing. Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A233699 Ideal rectangle side length for packing squares with side 1/n. 1
 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 G. C. Greubel, Table of n, a(n) for n = 0..10000 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... MATHEMATICA RealDigits[(Pi^2-6)/5, 10, 120][[1]] (* Harvey P. Dale, Aug 21 2017 *) PROG (PARI) (Pi^2-6)/5; (MAGMA) C := ComplexField(); (Pi(C)^2-6)/5 // G. C. Greubel, Jan 26 2018 CROSSREFS Sequence in context: A319263 A318386 A318334 * 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 | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 12 20:12 EST 2019. Contains 329961 sequences. (Running on oeis4.)