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Do you remember first sequence of numbers you met? Presumably it was here: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10…, natural numbers. The next thing you might see was this: 2, 4, 6, 8, 10, 12,… – two-one. or odd numbers: 3, 5, 7, 9, 11,… But perhaps you have ever wondered what a number sequence this is: You start with 0 and 1 and n you always add two previous numbers: 0, 1, 1, 2, 3, 5,…?
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You can search m all, in online Encyclopedia of Numbers, short OEIS. The natural numbers are called OEIS follow A000027, multiples of two are sequence A005843. A few days ago, episode A300000 added: As ors neatly commented and filed, along with educational laws and all rest of what mamaticians have found out about m.
There are a few numbers in search slot to see how se numbers occur and what you can still count on m. The database behind it is constantly growing, fed by entries and comments of users. Printed, material currently fills about 1,000 books. Almost 7,000 of consequences have been given to Mafans with keyword nice, first of all sequence of primes and sequence 0, 1, 1, 2, 3, 5,…
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OEIS was born in 1964 by British mamatician Neil Sloane, where he still studied. Sloan’s dissertation a few years later, by way, revolved around A000435, a sequence that includes structures from graph ory, which experts call trees. Since n, Sloane collects episodes like or art or good wines. One of his favorite episodes is episode A250000: “The largest number of black and white queens who can coexist peacefully on a chess board with n times N fields.” He has also retained recently published sequence number 300,000 for Jubilee. “This episode I like very much,” says Sloane, beginning to rave. “It was submitted by Eric Angelini from Brussels. He has created many wonderful episodes over years, often with a strange self-referential character, as well as se. ” In fact, result is a true work of art: You start with 1 and 10. The third number is 99, because 1 10 99 = 110, and on or hand 1 and 10 – i.e. first three digits in sequence – glued. The fourth number is 999, because 1 10 99 999 = 1109, and se are first four digits of sequence in a row. That’s how things go.
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What you find in OEIS is as diverse as mamatics itself. Some numbers are infinitely long, some only finally. There are sequences of numbers that arise from gimmicks: how many options are re to draw straight lines between 2, 3, 4, or more points on a circle if you do not want lines to overlap? Or numerical sequences have to do with algorithms: How many computational steps does a computer need at least to sort 4, 5 or 700 numbers? Still ors are based on natural constants: What is numerical sequence of PI or vacuum speed in meters per second? And a large group of episodes is about prime numbers, atoms of number ory. Their distances are a subject that is currently being explored intensively. And so in OEIS, for example, result of “prime numbers, which in distance from one root of this prime is no or prime”.
