Encyclopedia of Integer Sequences
Rohit Khare
Rohit@KnowNow.com
Fri, 9 Nov 2001 22:36:24 -0800
This risks being old bits, but was just too funny for words... 65K+
integer sequences!
http://www.research.att.com/~njas/sequences/Seis.html
Even more amusing: The Dictionary of Real Numbers. Not online, but
used on Amazon for $125:
http://s1.amazon.com/exec/varzea/ts/exchange-glance/Y04Y0258628Y5443149/qid=1005373406/sr=1-1/102-4178553-4349729
>Borwein, Jonathan & Borwein, Peter: A DICTIONARY OF REAL NUMBERS
>Reference - Mathematics, Physics & Science Etc. MATHEMATICS
>DICTIONARY . VG+/--, 8 1/2w x 11 1/2h, HC, minor scuffing, 424 pp
>
>Publisher: Wadsworth & Brooks/ Cole Advanced Books & Software California, 1990
So, even older bits that put it in context:
http://www.sigmaxi.org/amsci/issues/Comsci96/compsci96-01.html
>In my daydream, Neil Sloane and Simon Plouffe are contestants on
>"Jeopardy," the TV game show. Sloane picks the category "Integer
>Sequences" for $400, and Alex Trebek reads the answer: "1, 1, 2, 3,
>5, 8, 13, 21...." Sloane instantly supplies the question: "What are
>the Fibonacci numbers?" Later it is Plouffe's turn, and he selects
>"Real Numbers" for $1,000. Trebek reads out an answer:
>"1.618033989," and Plouffe responds with the question: "What is phi,
>or the golden mean--the limiting value of the ratio of successive
>Fibonacci numbers?"
>
>In real life Sloane and Plouffe are not competitors but
>collaborators. Sloane is a mathematician at AT&T Bell Laboratories,
>well known for his work in graph theory, combinatorics and geometry.
>He is also the author of the Handbook of Integer Sequences, a
>compendium of some 2,300 sequences, published in 1973. Plouffe, a
>mathematician now at Simon Fraser University in British Columbia, is
>another collector of numbers and sequences, who volunteered a few
>years ago to help revise and expand the Handbook. Sloane and Plouffe
>are coauthors of the new edition, published last year as the
>Encyclopedia of Integer Sequences. It is a much-enlarged and
>enriched work, with more than 5,400 entries.
...
>Following his work on the Encyclopedia of Integer Sequences, Plouffe
>has gone on to develop an analogous Internet server for real
>numbers, called the Inverse Symbolic Calculator, or ISC. The
>calculator is "inverse" in the sense that you give it a number and
>ask where the number might have come from, rather than giving it a
>formula and requesting a solution. You do not ask the calculator for
>the value of e/pi + 1; you supply the numerical result
>1.8652559794322, and the program suggests this expression as one
>possible source.
>
...
>There are some outright jokes, such as M4961: 1, 15, 29, 12, 26, 12,
>26, 9, 23, 7, 21.... The description given is "Dates at fortnightly
>intervals from Jan. 1."
...
> In 1990 Jonathan Borwein and Peter Borwein, who were then at
>Dalhousie University in Nova Scotia, published A Dictionary of Real
>Numbers. This is not a book to keep by your bedside, although its
>columns and columns of eight-digit numbers can make it a valuable
>reference. ("Wait for the movie," is the usual advice, but in this
>case it's "Wait for the Web site.") Plouffe's compilation of real
>numbers began independently of the Dictionary, but Plouffe and the
>Borweins have since made common cause. Jonathan and Peter Borwein
>now direct the Center for Experimental and Constructive Mathematics
>at Simon Fraser University, where Plouffe has become a research
>associate.