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Recamán's sequence: 0, 1, 3, 6, 2, 7, 13, 20, 12, 21, 11, 22, 10, 23, 9, 24, 8, 25, 43, 62, ... "subtract if possible, otherwise add": a(0) = 0; for n > 0, a(n) = a(n − 1) − n if that number is positive and not already in the sequence, otherwise a(n) = a(n − 1) + n, whether or not that number is already in the sequence. A005132
Werkenntwen (English: "Whoknowswhom"), often abbreviated in German as wkw, was a German social networking site. TechCrunch once compared it to Myspace. [2] According to Alexa Internet in July 2011, werkenntwen's traffic was ranked 959 worldwide [3] and was one of the most successful websites in Germany. [4]
Singmaster's conjecture is a conjecture in combinatorial number theory, named after the British mathematician David Singmaster who proposed it in 1971. It says that there is a finite upper bound on the multiplicities of entries in Pascal's triangle (other than the number 1, which appears infinitely many times).
In mathematics and computer science, Recamán's sequence [1] [2] is a well known sequence defined by a recurrence relation. Because its elements are related to the previous elements in a straightforward way, they are often defined using recursion .
A (purely) periodic sequence (with period p), or a p-periodic sequence, is a sequence a 1, a 2, a 3, ... satisfying . a n+p = a n. for all values of n. [1] [2] [3] If a sequence is regarded as a function whose domain is the set of natural numbers, then a periodic sequence is simply a special type of periodic function.
The order of the sequence is the smallest positive integer such that the sequence satisfies a recurrence of order d, or = for the everywhere-zero sequence. [ citation needed ] The definition above allows eventually- periodic sequences such as 1 , 0 , 0 , 0 , … {\displaystyle 1,0,0,0,\ldots } and 0 , 1 , 0 , 0 , … {\displaystyle 0,1,0,0 ...
Part 1: The Principles of Best Year Yet – three hours to change your life First published by HarperCollins in 1994 and by Warner Books in 1998 Available in 12 other languages, including Spanish, Dutch, German, Italian, Swedish, Romanian, Chinese, and Japanese Author Jinny S. Ditzler has retained the digital
1. "Mignon und der Harfner" ['Nur wer die Sehnsucht kennt'] for two voices and piano (5th setting) 2. "Lied der Mignon" ['Heiß mich nicht reden, heiß mich schweigen'] for voice and piano (2nd setting) 3. "Lied der Mignon" ['So laßt mich scheinen, bis ich werde'] for voice and piano (3rd setting) 4.