Buy A Handbook of Integer Sequences on ✓ FREE SHIPPING on qualified orders. Cover for A Handbook of Integer Sequences N.J.A. Sloane If nothing is known about the history of the sequence or if it is an arbitrary sequence, nothing can. The On-Line Encyclopedia of Integer Sequences. Neil J. A. Sloane. Visiting Scholar, Rutgers University. President, OEIS Foundation. 11 South.

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This page was last edited on 26 Octoberat The database is searchable by keyword and by subsequence. Mathematicians drool over this sequence, because of the pleasingly self-referential way it is defined. In other words, the Kolakoski sequence describes the length of runs in the sequence itself.

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Order by newest oldest recommendations. If we start at the beginning of the sequence, then, as illustrated below, the length of the xequences recreates the original sequence. And when I come across a handobok I put it in the database. Number of 3-dimensional polyominoes or polycubes with n cells and symmetry group of order exactly James Grime, University of Nottingham.

Each entry contains the leading terms of the sequence, keywordsmathematical motivations, literature links, and more, including the option to generate a graph or play a musical representation of the sequence.

It also gives you the option to plot a graph of the sequence, handbok listen to it as a piece of music where each number is a note in a scale of eight octaves.

The rule here is that you start with 0, and whenever you get to a number you have not seen handbook, the following term is a 0. Eric is a fan of the French literary movement Oulipoa group of mathematically inclined, predominantly French-speaking writers who use constrained writing techniques, such as writing a book without using the letter e.


Individual terms of sequences are separated by commas. Decimal expansion of upper bound for the r-values supporting stable period-3 orbits in the logistic equation. Prime numbers and Fibonacci numbers are well known throughout general culture.

On-Line Encyclopedia of Integer Sequences

She has the bed and ear-plugs intege herself. It contains exactly 2, terms. One prolific amateur is the Belgian journalist Eric Angelini, who is the author of the following sequence A submitted in July that Neil particularly likes:.

Sequence Kolakoski sequence is prestigious for another reason: You can search for sequences by inputting numbers. This sequence spurred progress on finding handboo, terms of A But have you ever heard of the Kolakoski sequence? Arrangement of the Sequences in Database”. In other projects Wikimedia Commons. The OEIS still grows by about 40 sequences a day. By using this site, you agree to the Terms of Use and Privacy Policy.

The OEIS is also a source of interesting problems, quite often that arise from the recreational mathematics community.

In OEIS lexicographic order, they are:. Thanks to Emma Ringelding for her illustration. Aor continued fraction expansions here 3, 7, 15, 1,1, 1, 1, 2, 1, 3, 1, 14, 2, 1, 1, 2, 2, 2, 2, 1, 84, 2, handbook, 1, The New York Times.

Greek letters are usually represented by their full names, e. In fact, one of the great strengths of the OEIS is that it unites professionals and amateurs. This phenomenon was studied by Nicolas Gauvrit, Jean-Paul Delahaye and Hector Zenil who explained the speed of the 2 clouds in terms of algorithmic complexity and the gap by social factors based on an artificial preference for sequences of primes, even numbers, geometric and Fibonacci-type sequences and so on.


Threads collapsed expanded unthreaded. This special usage has a solid mathematical basis in certain counting functions. Each n is a member of exactly one of these two sequences, and in principle it can be determined which sequence each n belongs to, with two exceptions related to the two sequences themselves:.

A handbook of integer sequences – Neil James Alexander Sloane – Google Books

This year he has already submitted more than sequences, bringing his s,oane tally to more than 42, The rule here is that if a vertical line is drawn in between any two digits, the number made up of the digits to the left is divisible by the single digit to the right. Retrieved 1 October Loading comments… Trouble loading?

With the added constraint that numbers are not repeated and you always take the lowest number possible. OEIS records information on integer sequences of interest to both professional mathematicians and amateursand is widely cited. So if you put in 0, 1, 1, 2, 3, 5 you will get the Fibonacci sequence, as well as more than others that also sloanne these numbers.

As a spin-off from the database work, Sloane founded the Journal of Integer Sequences in Pages using deprecated image syntax Articles containing potentially dated statements from October All articles containing potentially dated statements Articles containing potentially dated statements from September Articles containing potentially dated statements from Commons integef link is on Wikidata Official website different in Wikidata and Wikipedia.

The sequence only contains 1s and 2s.