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  2. Aitken's delta-squared process - Wikipedia

    en.wikipedia.org/wiki/Aitken's_delta-squared_process

    In numerical analysis, Aitken's delta-squared process or Aitken extrapolation is a series acceleration method used for accelerating the rate of convergence of a sequence. It is named after Alexander Aitken, who introduced this method in 1926. [1]

  3. Series acceleration - Wikipedia

    en.wikipedia.org/wiki/Series_acceleration

    Two classical techniques for series acceleration are Euler's transformation of series [1] and Kummer's transformation of series. [2] A variety of much more rapidly convergent and special-case tools have been developed in the 20th century, including Richardson extrapolation, introduced by Lewis Fry Richardson in the early 20th century but also known and used by Katahiro Takebe in 1722; the ...

  4. Lateralus (song) - Wikipedia

    en.wikipedia.org/wiki/Lateralus_(song)

    The song is known for its distinct time signatures and corresponding lyrical patterns. The time signatures of the chorus of the song change from 9/8 to 8/8 to 7/8; as drummer Danny Carey says, "It was originally titled 9-8-7. For the time signatures. Then it turned out that 987 was the 16th number of the Fibonacci sequence. So that was cool." [2]

  5. Johnny Johnny Yes Papa - Wikipedia

    en.wikipedia.org/wiki/Johnny_Johnny_Yes_Papa

    As of 20 August 2020, a video containing the song, misspelt as "Johny" and uploaded to YouTube by Loo Loo Kids in 2016, [1] has more than 6.9 billion views as of January 2024, making it the third-most-viewed video on the site, as well as the most-viewed nursery rhyme video and one of the top 10 most-disliked YouTube videos. Another video of the ...

  6. Pell number - Wikipedia

    en.wikipedia.org/wiki/Pell_number

    This sequence of approximations begins ⁠ 1 / 1 ⁠, ⁠ 3 / 2 ⁠, ⁠ 7 / 5 ⁠, ⁠ 17 / 12 ⁠, and ⁠ 41 / 29 ⁠, so the sequence of Pell numbers begins with 1, 2, 5, 12, and 29. The numerators of the same sequence of approximations are half the companion Pell numbers or Pell–Lucas numbers ; these numbers form a second infinite ...

  7. Arithmetico-geometric sequence - Wikipedia

    en.wikipedia.org/wiki/Arithmetico-geometric_sequence

    An arithmetico-geometric series is a sum of terms that are the elements of an arithmetico-geometric sequence. Arithmetico-geometric sequences and series arise in various applications, such as the computation of expected values in probability theory, especially in Bernoulli processes. For instance, the sequence

  8. Alcuin's sequence - Wikipedia

    en.wikipedia.org/wiki/Alcuin's_Sequence

    In mathematics, Alcuin's sequence, named after Alcuin of York, is the sequence of coefficients of the power-series expansion of: [1] ...

  9. 1 + 2 + 3 + 4 + ⋯ - ⋯ - Wikipedia

    en.wikipedia.org/wiki/1_%2B_2_%2B_3_%2B_4_%2B_%E...

    Euler's Proof That 1 + 2 + 3 + ⋯ = −1/12 – by John Baez; John Baez (September 19, 2008). "My Favorite Numbers: 24" (PDF). The Euler-Maclaurin formula, Bernoulli numbers, the zeta function, and real-variable analytic continuation by Terence Tao; A recursive evaluation of zeta of negative integers by Luboš Motl