AT&T Fellow
Address: AT&T Shannon Lab, 180 Park Ave, Room C233,
Florham Park NJ 07932-0971 USA
Voice: 973 360 8415,
Fax: 973 360 8178.
Email: njas@research.att.com
(An alternative address, which however I do not
check very often, is njasloane@gmail.com)
The OEIS Foundation
is now set up. It exists to own, maintain and collect funds to support
the On-Line Encyclopedia of Integer Sequences. The Foundation is a
501(c)(3) tax-exempt organization. For more information
see the OEIS Foundation web site.
See especially the poster
and the press release.
[Nov 19 2009]
Podcast of me being interviewed by Chaim Goodman-Strauss about the On-Line Encyclopedia of Integer Sequences.
(Part of the MAA Math Factor Podcast series.)
Eight Hateful Sequences,
short paper for the 8th Gathering for Gardner
[pdf].
[May 13 2008]
N. J. A. Sloane and Vinay A. Vaishampayan,Generalizations of Schöbi's Tetrahedral Dissection
[pdf].
[Oct 20 2007, Oct 22 2007, Nov 13 2007, May 13 2008]
Chao Tian, Vinay A. Vaishampayan and N. J. A. Sloane,Constant Weight Codes: A Geometric Approach Based on Dissections
[pdf].
[Jun 08 2007]
Nice Poster
for talk about the OEIS I gave at MIT on Apr 30 2007.
[The original is on the MIT Applied Math Colloquium
web site.
The poster was brilliantly executed by Shirley A. Entzminger of MIT
from a crude rough draft that I sent her.]
J. H. Conway and N. J. A. Sloane,
The Optimal Isodual Lattice Quantizer in Three Dimensions
[pdf,
ps].
[Jan 02 2007]
David Applegate, Marc LeBrun and N. J. A. Sloane,
Descending Dungeons and Iterated Base-Changing
[pdf].
[Nov 09 2006, Feb 07 2007, Aug 28 2007, Sep 25 2007]
David Applegate, Marc LeBrun and N. J. A. Sloane,
Descending Dungeons, Proposed problem for American Math. Monthly
[pdf,
ps].
[Oct 10 2006]
N. J. A. Sloane and Parthasarathy Nambi,
Integer Sequences Related to Chemistry
[pdf],
Poster to be presented at the Amer. Chem. Soc. National Meeting, San Francisco, Fall 2006
[Aug 14, 2006]
Seven Staggering Sequences
[pdf],
based on talk given at 7th Gathering for Gardner, Atlanta, March 2006.
[Apr 14, 2006]
New: I have reopened the doors to
the 100K sequence e-party! Click
here
to join. [Jan 28 2006]
Nadia Heninger, Eric Rains and N. J. A. Sloane,
On the Integrality of n-th Roots of Generating Functions
[pdf,
ps].
[Aug 26, 2005; revised Nov 10, 2005, Apr 08 2006]
Fokko J. van de Bult, Dion C. Gijswijt, John P. Linderman,
N. J. A. Sloane and Allan R. Wilks,
A Slow-Growing Sequence Defined by an Unusual Recurrence
[pdf,
ps].
[Jun 26 2004; latest revision Sep 16 2006]
David Applegate, Benoit Cloitre, Philippe Deléham and N. J. A. Sloane,
Sloping Binary Numbers: A New Sequence Related to
the Binary Numbers
[pdf,
ps].
[Apr 19 2005; revised Jul 26 2005]
Di Cook's movie of the olive oil data.
This displays a certain 8-dimensional dataset by projecting it
onto a sequence of 40 planes
in 8-space that were obtained from the E_8 lattice (one of our
Grassmannian packings). Requires a QuickTime viewer.
Brendan D. McKay, Frederique E. Oggier, Gordon F. Royle, N. J. A. Sloane, Ian M. Wanless and Herbert S. Wilf,
Acyclic
digraphs and eigenvalues of (0,1)-matrices (arXiv: math.CO/0310423)
[Oct 24, 2003]
G. Nebe, E. M. Rains and N. J. A. Sloane,
Codes
and Invariant Theory
(arXiv: math.NT/0311046)
[Jan 01 2003, revised Oct 06 2003]
Review of George Szpiro's book Kepler's Conjecture:
How some of the greatest minds in history helped solve
one of the oldest math problems in the world (Wiley),
Nature,
11 Sept. 2003 (Vol. 425, No. 6954),
pp. 126-127
[pdf,
ps].
J. C. Lagarias and N. J. A. Sloane,
Approximate
Squaring (arXiv: math.NT/0309389)
[Aug 13, 2003; revised Sep 08, 2003]
Jeffrey Shallit has agreed to take over the editorship of
the electronic
Journal
of Integer Sequences.
which I founded four years ago. The link points to its new home page.
[Apr 14, 2002]
Many Spherical codes (arrangements
of points on spheres in various dimensions)
have been added - see the section on
Tables below.
[June 13, 2000]
The Invariants of the Clifford Groups
(with Gabriele Nebe and Eric Rains)
[Abstract, pdf, postscript].
[Sept 8, 2000]
The Lattice of N-Run Orthogonal Arrays
(with Eric Rains and John Stufken)
[Abstract, pdf, postscript].
[Apr 14, 2000]
My Favorite Integer Sequences, a paper for the
SETA'98
conference on sequences
[Abstract,
pdf,
postscript,
latex] [revised Jan 19, 2001].
Also an article about the On-Line Encyclopedia
for the forthcoming Handbook of Computer Science
[pdf, postscript].
Packing Planes in
Four Dimensions and Other Mysteries
[pdf, postscript]
(Talk on packings in Grassmannian spaces and error-correcting
codes for quantum computers, based on 5 papers:
(1),
(2),
(3),
(4),
(5).
See also
(6),
(7).)
Tables of A(n,d),
largest binary code of length n and minimal distance d (with Simon
Litsyn and Eric Rains);
and
A(n,d,w), largest binary
code of length n, distance d and constant weight w (with Eric Rains)
[Apr 4 1999].
Note on optimal unimodular lattices
[pdf, postscript]
(with J.H. Conway): shows among other things that there are
precisely 5 odd optimal unimodular lattices in 32 dimensions, but more
than 8*1020 in dimension 33.
[Feb 10 1998]
Mixed binary-ternary codes
[pdf, postscript]:
Suppose you want a set of vectors in which the first b coordinates
are binary and the last t coordinates are ternary, and you
want Hamming distance at least d between any two vectors.
How many vectors can you have? This paper gives bounds,
constructions and extensive tables -- including a table of pure ternary
codes that is better than any previous table.
The Catalogue of Lattices.
This data-base of lattices is a joint project with
Gabriele Nebe, University of Aachen
Our aim is to give information about all the interesting
lattices in "low" dimensions
(and to provide them with a "home page").
The data-base now contains about 125,000 lattices.
Gosset:
An extremely powerful general-purpose program for constructing experimental designs
developed by R. H. Hardin and me over the past seven or so years.
Available for beta-testing. Runs under Unix or Linux. [Aug 28 2001].
