Recent papers, talks, etc.

• J. S. Myers, R. Schroeppel, S. R. Shannon, N. J. A. Sloane, and P. Zimmermann, Three Cousins of Recaman's Sequence, arXiv:2004:14000, April 2020.
• Guess the Next Term!, A one-page exhibit for Rutgers Day 2020, which this year is being held online because of the corona virus.
• F. Michel Dekking, Jeffrey Shallit, and N. J. A. Sloane, Queens in exile: non-attacking queens on infinite chess boards, Electronic J. Combin., 27:1 (2020), #P1.52.
• N. J. A. Sloane (in collaboration with Scott R. Shannon), Art and Sequences, Guest lecture in Math 640, Rutgers Univ., Feb 8, 2020 (slides).
• N. J. A. Sloane, Old and New Problems from 55 Years of the OEIS. Talk in Doron Zeilberger's Experimental Math Seminar at Rutgers University, October 10 2019; Video,Slides [These slides include some that I did not have time to show in the talk, along with updates to some that I did show.]
• Eric Angelini, Lars Blomberg, Charlie Neder, Remy Sigrist, and N. J. A. Sloane, "Choix de Bruxelles": A New Operation on Positive Integers, arXiv:1902.01444, Feb 2019. Fibonacci Quarterly, to appear.
• Numberphile Podcast, The Number Collector (with Neil Sloane), August 2019.
• Brady Haran and N. J. A. Sloane, Amazing Graphs (III), Numberphile video, August 2019.[March 2020: These 10 Numberphile videos have now been viewed 4.25 million times.]
• Brady Haran and N. J. A. Sloane, Amazing Graphs (II), Numberphile video, August 2019.
• Brady Haran and N. J. A. Sloane, Amazing Graphs (I), Numberphile video, August 2019.
• Brady Haran and N. J. A. Sloane, Don't Know (the Van Eck Sequence), Numberphile video, June 2019.
• Brady Haran and N. J. A. Sloane, Peaceable Queens, Numberphile video, May 2019.
• Brady Haran and N. J. A. Sloane, How many ways can circles overlap?, Numberphile video, April 2019.
• Brady Haran and N. J. A. Sloane, The Trapped Knight, Numberphile video, Jan 2019.
• Brady Haran and N. J. A. Sloane, Terrific Toothpick Patterns, Numberphile video, Dec 2018.
• Brady Haran and N. J. A. Sloane, What Number Comes Next?, Numberphile video, Nov 2018.
• Brady Haran and N. J. A. Sloane, Primes on the Moon (Lunar Arithmetic), Numberphile video, Nov 2018.
• N. J. A. Sloane, Coordination Sequences, Planing Numbers, and Other Recent Sequences (II). Talk in Doron Zeilberger's Experimental Math Seminar at Rutgers University, Jan 31 2019; Part 1, Part 2, .
• N. J. A. Sloane, Coordination Sequences, Planing Numbers, and Other Recent Sequences. Talk in Doron Zeilberger's Experimental Math Seminar at Rutgers University, Nov. 15 2018: Part 1, Part 2, Slides [Some slides have been changed since the talk]
• N. J. A. Sloane,The On-Line Encyclopedia of Integer Sequences,Notices, Amer. Math. Soc., 65 (No. 9, Oct. 2018), 1062-1074.
• C. Goodman-Strauss and N. J. A. Sloane,A Coloring Book Approach to Finding Coordination Sequences, Acta Crystallographica Section A: Foundations and Advances, 2019, Volume A75, pages 121-134. Also on my home page.Also arXiv:1803.08530.[Last revised Jan 29 2019]
• N. J. A. Sloane, Three (No, 8) Lovely Problems from the OEIS, Experimental Mathematics Seminar, Rutgers University, Oct 05 2017, Part I, Part 2, Slides.
• N. J. A. Sloane, Confessions of a Sequence Addict (AofA 2017), Slides of invited talk at Analysis of Algorithms (AofA) 2017, Princeton University, June 19 2017.
• N. J. A. Sloane, Winter Fruits: New Problems from the OEIS, Dec. 2016 - Jan. 2017. Talk in Doron Zeilberger's Experimental Math Seminar at Rutgers University, Jan 26 2017: Part 1, Part 2, Slides [Slides 15, 21, 22 have been changed since the talk]
• Moa Apagodu, David Applegate, N. J. A. Sloane, Doron Zeilberger,Analysis of the Gift Exchange Problem, 2017.Also arXiv:1701.08394, although the version on my home page may be more up-to-date.[Last revised Jan 30 2017]
• Shalosh B. Ekhad, N. J. A. Sloane, andDoron Zeilberger,Automated Proofs (or Disproofs) of Linear Recurrences Satisfied by Pisot Sequences, 2016.Also arXiv:1609.05570, although the version on my home page may be more up-to-date.[Last revised Sep 27 2016]
• N. J. A. Sloane, The OEIS, Mathematical Discovery, and Insomnia, Slides of plenary talk presented at Computational Discovery in Mathematics, Western University, London, Ontario, May 12-16, 2016.
• N. J. A. Sloane, Open Problems in the OEIS, Slides of Guest Lecture given in Doron Zeilberger's Experimental Mathematics Class, Rutgers University, May 2, 2016.
• Margaret Wertheim, The Fax Numbers of the Beast, and Other Mathematical Sports: An Interview with Neil Sloane, Cabinet Magazine, Issue 57, Spring 2015, pages 48-54.
• Siobhan Roberts, How to Build a Search Engine for Mathematics: The surprising power of Neil Sloane's Encyclopedia of Integer Sequences,Nautilus Magazine, Issue 29, Chapter 4, Oct 22 2015.
• N. J. A. Sloane, Unsolved Number Theory Sequences from Alekseyev, Meiburg, Resta, van der Poorten, and Pablo Picasso, Video of talk in Doron Zeilberger's Experimental Math Seminar at Rutgers University, Sep 24 2015: Part 1, Part 2
• Featured in Slashdot on August 7 2015.
• Erica Klarreich, The Connoisseur of Number Sequences, Quanta Magazine, August 6 2015.
• May 2015: Elected Fellow of The Learned Society of Wales (FLSW)
• N. J. A. Sloane,The Online Encyuclopedia of Integer Sequences (Good Ideas in Teaching Precalculus, 2015),Slides of talk presented at Good Ideas in Teaching Precalculus Conference, Rutgers University, March 30, 2015.Concerning the Integer Sequences K-12 conference that is mentioned at the end of the talk, more information can be found here.
• Shalosh B. Ekhad, N. J. A. Sloane, andDoron Zeilberger,Odd-Rule Cellular Automata on the Square Grid, 2015.Also arXiv:1503.04249, although the version on my home page may be more up-to-date.[Last revised Mar 20 2015]
• Shalosh B. Ekhad, N. J. A. Sloane, andDoron Zeilberger,A Meta-Algorithm for Creating Fast Algorithms for Counting ON Cells in Odd-Rule Cellular Automata, 2015.Also arXiv:1503.01796,although the version on my home page may be more up-to-date.See also the accompanying Maple package.[Last revised Mar 05, 2015.]
• N. J. A. Sloane,On the Number of ON Cells in Cellular Automata, submitted to Ron Graham Festschrift, 2015.Also arXiv:1503.01168,although the version on my home page may be more up-to-date.[Last revised Mar 05, 2015.]
• David L. Applegate, Hans Havermann, Bob Selcoe, Vladimir Shevelev, N. J. A. Sloane, and Reinhard Zumkeller, The Yellowstone Permutation,Journal of Integer Sequences, Vol. 18 (2015), Article 15.6.7; also arXiv:1501.01669(JIS,arXiv,on my home page).
• N. J. A. Sloane, On the No. of ON Cells in Cellular Automata, Video of talk in Doron Zeilberger's Experimental Math Seminar at Rutgers University, Feb. 5 2015: Part 1, Part 2
• Video interview of me by Marc Chamberland at the Joint Math Meetings in San Antoio, Texas, Jan. 2015.
• Poster I created to celebrate reaching 250,000 sequences; key to the poster.
• OEIS-50 Conference. On October 9-10 2014 there was a conference at DIMACS, Rutgers University, to celebrate the 50th birthday of the OEIS, reaching 250,000 sequences, and my 75th birthday. Videos of the talks canbe seen here
• N. J. A. Sloane,A Note on Modular Partitions and Necklaces;Preprint, 2014 (mentioned in A047996 andA241926).[May 06 2014]
• Error-Correcting Codes, Group Theory, and Invariant Theory . Video of talk I gave in the Graduate Student Seminar Series at Rutgers University, Apr 21, 2014:Part 1,Part 2.Thanks to Matthew Russell for making the videotape.
• 2178 And All That . Video of talk I gave in Doron Zeilberger'sExperimental Math Seminar at Rutgers University, Oct. 10 2013:Part 1,Part 2.Thanks to Matthew Russell for making the videotape.
• Claude Elwood Shannon: Miscellaneous Writings,edited by N. J. A. Sloane and A. D. Wyner, 1993,Deposited in The Library of Congress, The British Library, and the libraries of M.I.T., Cornell, Univ. Mich. and AT&T Bell Laboratories.October 15 2013: I have placed a copy on theInternet Archive - seearchive.org/details/ShannonMiscellaneousWritings
• N. J. A. Sloane,2178 And All That, Fibonacci Quarterly, 52 (2014), 99-120.Also arXiv:1307.0453,although the version on my home page may be more up-to-date.
• N. J. A. Sloane,On Curling Numbers of Integer Sequences, Slides of talk presented at Combinatoricson Words Conference, Fields Institute, Toronto, April 22, 2013.
• N. J. A. Sloane,Listen to Recaman's Sequence A005132. See A005132 for the full entry in the OEIS.
• The On-Line Encyclopedia of Integer Sequences: The First Hundred Years. Video of talk I gave in Doron Zeilberger's Experimental Math Seminar at Rutgers University, Feb. 7, 2013. It is on YouTube. There were two cameras recording it, and each video is in two parts, so there are four videos-take your pick! VIDEO 1: Part 1, Part 2;VIDEO 2: Part 1, Part 2.Thanks to Brian Nakamura and Edinah K. Gnang for an excellent job of videotaping.
• N. J. A. Sloane,Recent and Noteworthy Sequences in the OEIS.[Dec. 18, 2012]
• N. J. A. Sloane,Recent and Noteworthy Sequences in the OEIS: The Illustrations.[Dec. 18, 2012]
• B. Chaffin, J. P. Linderman, N. J. A. Sloane and A. R. Wilks,On Curling Numbers of Integer Sequences.[Dec. 25, 2012; Mar 12 2013]
• The On-Line Encyclopedia of Integer Sequences,(audio interview, an episode of Relatively Prime, interviewer is Samuel Hansen).[Jan. 10, 2012]
• N. J. A. Sloane, The On-Line Encyclopedia of Integer Sequences,Proceedings Fifteenth Conference on Fibonacci Numbers, Eger, Hungary, June 2012,Annales Mathematicae et Informaticae, 41 (2013) pp. 219-234.
• Susanna Cuyler and N. J. A. Sloane, A Simple and Easily-Remembered Method for Solving the Rubik Cube, 2012.(An informal guide for distribution to friends.)
• "The On-Line Encyclopedia of Integer Sequences",lecture in Doron Zeilberger's courseon Experimental Mathematics, Feb. 23, 2012(pdf,Keynote).
• D. Applegate, M. LeBrun, N. J. A. Sloane, Dismal Arithmetic,J. Int. Seq., 14 (2011), #11.9.8.
• D. Applegate, M. LeBrun, N. J. A. Sloane, Carryless Arithmetic, College Math. J., Vol. 43 (No. 1, 2012), pp. 43-50(Special issue in honor of Martin Gardner),received 2013 George Polya Award from MAA;also arXiv:1008.4633.
• N. J. A. Sloane, V. A. Vaishampayan, S. I. R. Costa,A Note on Projecting the Cubic Lattice, Discr. Comput. Geom., 46 (No. 3, 2011), 472-478.
• D. Applegate, O. E. Pol, N. J. A. Sloane,TheToothpick Sequence and Other Sequences from Cellular Automata,Congress. Numer., 206 (2010), 157-191.
• D. Applegate, N. J. A. Sloane,The Gift Exchange Problem,arXiv:0907.0513,slightly later version with typo corrected.
• Eight Hateful Sequences,paper for the 8th Gathering for Gardner, revised Sept. 11, 2013[old version: arXiv:0805.2128].
• N. J. A. Sloane, V. A. Vaishampayan,Generalizations of Schöbi's Tetrahedral Dissection,Discr. Comput. Geom., 41 (No. 2, 2009), 232-248;arXiv:0710.3857.
• C. Tian, V. A. Vaishampayan, N. J. A. Sloane,Constant Weight Codes: A Geometric Approach Based on Dissections,IEEE Trans. Inform. Theory, 55, (No. 3, 2009), 1051-1060;arXiv:0706.1217.
• Seven Staggering Sequences, inHomage to a Pied Puzzler,E. Pegg Jr. et al. (eds.),A. K. Peters, Wellesley, MA, 2009, pp. 93-110;arXiv:0912.2394.

Other recent highlights

• The OEIS appears (under 1973) in WolframAlpha's Timeline of Systematic Data and the Development of Computable Knowledge, which extends from cave paintings to the present day. [Oct 14 2011]
• Nov 11 2010: The new version of the OEIS is launched!For almost two years now, I have been trying to convert the On-Line Encyclopedia of Integer Sequences (OEIS)to a version that will run independently of me, and to find a permanenthome for it, not on my home page.The first step was to set up a non-profit foundation to own, maintainand collect funds to support the OEIS: this was completed in 2009 - seeThe OEIS Foundation web site.

  The second step was to set up a version of the OEIS which would run autonomouslyon a commercial web site, operating as a moderated wiki, and controlledby a board of editors.Unfortunately, 18 months ago we discovered that the standard mediawiki softwarewas incapable of handling the kind of queries that the OEIS generates.This problem seemed unsurmountable, andI had almost given up hope that it would ever be solved.

  But thanks to the enormous efforts of Russ Cox,who has completely rewritten all the OEIS software, the new OEIS was launched on Nov 11 2010.David Applegate has also been of great help in getting the new system working. At the time of the launch, the OEIS contained 180284 sequences.This means that after 46 years, I no longer have to process every single contribution to the database.Thank you, Russ and Dave: you have saved the OEIS!

  The URL for the new OEIS is oeis.org.I recommend that before using it, you first register atoeis.org/wiki.When you get issued a password,go to the main page and login with the same user name and password.

  Now when you look at a sequence, you will see "history" and "edit"buttons next to the "graph" and "listen" buttons. The "edit" buttonlets you edit the sequence. To submit a new sequence, use the "Submitnew seq." link at the bottom of any sequence page.All contributions will be reviewed by the editors (if you would like to helpby becoming an editor, let me know - we need more editors!).

• The OEIS Movie!To celebrate the launching of the OEIS Foundation,Tony Noe has made a movie showing the first 1000 terms of 1000 sequences, with soundtrack from Recaman's sequenceA005132.The best way to watch it isto first download the file from Tony's web site,http://www.sspectra.com/math/OEISMovie.mov and then play it with QuickTimePlayer 7.
• The list of works that reference the OEIS is continually being updated. As of June 2015 there are over 4200 citations.

Tables

• OEIS
• Lattice catalogue
• Spherical codes (packings)
• Spherical codes (packings, coverings and max volume arrangements with icosahedral symmetry)
• Spherical codes (coverings)
• Spherical codes (t-designs)
• Spherical codes (minimal potential energy arrangements)
• Spherical codes (maximal volume arrangements)
• Packings of lines, planes etc.: packings in Grassmannian space
• Minimal-energy clusters ofhard spheres
• Minimal Lennard-Jones potential clusters of soft spheres
• Hadamard matrices
• Orthogonal Arrays:
  (a) Parameters of arrays with up to 100 runs
  (b) Library of explicit arrays
  (c) The book.

Papers and Books Grouped by Subject:(Most of these pages need to be updated.)

• coding theory(see alsocovering radius of codesandcodes over Z4),
• sphere packing, lattices and quadratic forms
• packing lines, planes, etc.: packings inGrassmannian spaces,
• spherical codes and designs,
• quantizing,
• geometry,
• combinatorics,
• designs (including experimental designs)(see alsoGosset),
• integer sequences,
• group theory,
• graph theory,
• spectroscopy,
• crystallography,
• cryptography,
• rock climbing