Title: Recent Acquisitions in the On-Line Encyclopedia of Integer Sequences
Speaker: Neil J.A. Sloane, AT&T Shannon Labs and DIMACS
Date: Tuesday, May 4, 2004
Reception before the talk: 4 PM, DIMACS Lounge, Room 401
Location: DIMACS Center, CoRE Bldg, Room 431, Busch Campus, Piscataway, NJ
For further information please contact Christine Houck (firstname.lastname@example.org)
The On-Line Encyclopedia of Integer Sequences (OEIS) is a database of number sequences that enables users to check if a sequence that has arisen in their work has been studied by others. A typical entry gives the first 50 or so terms of the sequence, formulas, references, links, computer programs for producing the sequence, etc.
The OEIS now contains 90,000 sequences and gets over 20,000 hits per day. Over ten thousand new sequences were added in the past year. I will discuss some highlights, including ``dismal'' primes, the amazing Recaman and Gijswijt sequences, and sequences arising from non-classical error correcting codes suggested by the Internet. I will also give three examples of unexpected connections between apparently unrelated sequences, from graph theory, wireless communications, and data compression.
Finally, a very recent sequence has led to a lovely and as-yet unsolved question about numerators of Bernoulli numbers.