The "robbins" forum (formerly known as the "bilinear" forum) is a mailing-list for people studying sequences and arrays satisfying various sorts of non-linear recurrence relations (e.g., Somos sequences), and the combinatorial objects that these sequences and arrays enumerate (e.g., tilings). These recurrence relations a priori should give rise to fractions (more generally, rational functions) but via mysterious cancellations they give rise to integers (more generally, Laurent polynomials). The forum is named in honor of David Robbins, whose work on Dodgson condensation and alternating-sign matrices provided much inspiration for this research. Only authorized members of the robbins forum can submit postings. To subscribe to the forum, send email to propp at jamespropp dot org. Anyone can read the archive, subject to the following proviso: Postings sent to robbins should not be forwarded to other people or forums without the permission of the individuals who posted the messages. AND, when such forwarding is done, you must strip out the string "@cs.uml.edu" from the header (where = "dr" followed by "12742", in tribute to DR's 1991 article "The story of 1, 2, 7, 42, 429, 7436, ..."). Please don't forget to strip out this string in anything you post to the web, or forward to anyone who might inadvertently post it! Otherwise, the email address of the forum will become available to spammers. *************************************************************************** * Please help us avoid spam-attacks on our forum by NOT putting the email * * address of the forum in ANY publically readable file on your web-site! * *************************************************************************** The archive of past postings to the forum is accessible via http://jamespropp.org/robbins/archive To access this file, you will need to enter the username "robbins" and the password "david". You may not copy the archive file. If you like this forum, you might also like the _domino_ forum (see http://jamespropp.org/about-domino). The Somos sequence web-page http://jamespropp.org/somos.html has material that may be of interest to many readers to the forum. Jim Propp Department of Mathematics University of Massachusetts Lowell July 25, 2007