Subject: Re: integer sequences From: matrng@vaxa.hofstra.edu Date: 19 Jul 94 11:38:48 EST Newsgroups: sci.math I see that no one has responded to my query so far, but no matter, because I finally located the information on getting integer sequences. Here it is. Raymond Greenwell Department of Mathematics Hofstra University matrng@vaxc.hofstra.edu ***************************************************************** I am posting the following announcement on behalf of Neil Sloane. Announcement: The On-Line Encyclopedia of Integer Sequences N. J. A. Sloane AT&T Bell Labs, Murray Hill, New Jersey with the assistance of Simon Plouffe Universite' du Quebec a' Montreal To look up a sequence in the Encyclopedia, send mail to sequences@research.att.com containing a line of the form lookup 4 9 16 25 36 for each sequence (up to a limit of 5) that you would like looked up. The reply will report all sequences found in the Encyclopedia (up to a limit of 7) that match: your sequence, your sequence with 1 subtracted from each term, your sequence with 1 added to each term. If there are too many matches, of course you should try again giving more terms! Notation: %I = identification line: Annnn = absolute catalogue number of sequence, Nnnnn = number (if any) in "Handbook of Integer Sequences" (1973) %S, %T = beginning of sequence %N = name, %R = references, %Y = cross-references, %A = authority, %F = formula (if not included in %N line), %O = offset = [a,b]: a is subscript of first entry, b gives the position of the first entry >= 2. References to journals give volume, page, year. New sequences, comments, corrections, extensions, etc., accompanied whenever possible by references, should be sent to: N. J. A. Sloane, ATT Bell Labs, Room 2C-376, 600 Mountain Ave, Murray Hill, NJ 07974, USA. email: njas@research.att.com, fax: 908 582 3340, voice: 908 582 2005 Ideally, new sequences and other contributions should follow the standard format, which is illustrated by: %I A1034 N2311 %S A1034 60,168,360,504,660,1092,2448,2520,3420,4080,5616,6048,6072,7800, %T A1034 7920,9828,12180,14880,20160,25308,25920,29120,32736,34440,39732,51888 %N A1034 Orders of non-cyclic simple groups. %R A1034 DI58 309. LE70 137. ATLAS. %O A1034 1,1 %A A1034 njas Of course the Annnn number has to be assigned by me, so use A0000 if sending a new sequence. The %S and %T lines are restricted to a total of 144 characters (digits and commas only, no blanks) The %N line may contain mathematical formulae, which are presently set in troff (though tex or latex are also acceptable). %R If a new sequence is from a preprint, please send me a copy (hard or soft), also all available publication details. If from a journal or book, please give all details, including page numbers. %A Use your email address as the authority. E.g. %A A0000 mary@this.that.edu %O Described above, but here is an example: %S A2885 1,1,0,1,0,0,1,2,0,4,7,0,12,8,0,80,84,0,820 %N A2885 Cyclic Steiner triple systems of order $2n+1$. %R A2885 GU70 504. %O A2885 0,8 The "0" means that the first entry gives the number of cyclic Steiner systems of order 2n+1 when n=0. The 8 means that the 8-th term is the first that is >= 1 (this determines the place of the sequence in the lexicographic order in the table). ============================================================================== From: edgar@dizzy.mps.ohio-state.edu (G. A. Edgar) Newsgroups: sci.math.symbolic Subject: Re: Sequence server? Date: Fri, 25 Aug 1995 13:17:02 -0400 Announcement: The On-Line Encyclopedia of Integer Sequences N. J. A. Sloane AT&T Bell Labs, Murray Hill, New Jersey with the assistance of Simon Plouffe Universite' du Quebec a' Montreal To look up a sequence in the Encyclopedia, send mail to sequences@research.att.com containing a line of the form lookup 4 9 16 25 36 for each sequence (up to a limit of 5) that you would like looked up. The reply will report all sequences found in the Encyclopedia (up to a limit of 7) that match: your sequence, your sequence with 1 subtracted from each term, your sequence with 1 added to each term. If there are too many matches, of course you should try again giving more terms! ============================================================================== From: Simon Plouffe Newsgroups: sci.math.symbolic Subject: Re: Sequence server? Date: 28 Aug 1995 00:34:38 GMT Hello, there are 2 sequence servers, (located at the same address), 1) sequences@research.att.com : send mail to that address and include a line containing the sequence this way lookup 1 2 3 5 8 13 5 terms minimum NO COMMAS, use spaces. This will tell you if the sequence is in the table : Encyclopedia of integer Sequences, actually the number of sequences is 6222. for a more powerful search in sequences, (generating function of the sequence) try : superseeker@research.att.com with the SAME parameters, 5 terms minimum, NO COMMAS , use spaces. example : lookup 1 2 5 14 42 132 will return that this sequence is probably the Catalan numbers and will give formula, referecnes, etc. To see the detail you may consult the magazine Science, July 22 1994 or the Electronic Journal of Combinatorics, Vol 1, #1. Simon Plouffe Research Associate Centre for Experimental and constructive Mathematics Simon Fraser University. ==============================================================================