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  2. Harvard Mark I - Wikipedia

    en.wikipedia.org/wiki/Harvard_Mark_I

    The Harvard Mark I, or IBM Automatic Sequence Controlled Calculator ( ASCC ), was one of the earliest general-purpose electromechanical computers used in the war effort during the last part of World War II . One of the first programs to run on the Mark I was initiated on 29 March 1944 [1] by John von Neumann.

  3. Limit of a sequence - Wikipedia

    en.wikipedia.org/wiki/Limit_of_a_sequence

    In mathematics, the limit of a sequence is the value that the terms of a sequence "tend to", and is often denoted using the symbol (e.g., ). [1] If such a limit exists, the sequence is called convergent. [2] A sequence that does not converge is said to be divergent. [3] The limit of a sequence is said to be the fundamental notion on which the ...

  4. Leonardo number - Wikipedia

    en.wikipedia.org/wiki/Leonardo_number

    The Leonardo numbers are a sequence of numbers given by the recurrence: Edsger W. Dijkstra [1] used them as an integral part of his smoothsort algorithm, [2] and also analyzed them in some detail. [3] [4] A Leonardo prime is a Leonardo number that's also prime .

  5. Aliquot sequence - Wikipedia

    en.wikipedia.org/wiki/Aliquot_sequence

    Definition and overview. The aliquot sequence starting with a positive integer k can be defined formally in terms of the sum-of-divisors function σ1 or the aliquot sum function s in the following way: [1] If the sn-1 = 0 condition is added, then the terms after 0 are all 0, and all aliquot sequences would be infinite, and we can conjecture ...

  6. Fibonacci sequence - Wikipedia

    en.wikipedia.org/wiki/Fibonacci_sequence

    Fibonacci sequence. In mathematics, the Fibonacci sequence is a sequence in which each number is the sum of the two preceding ones. Numbers that are part of the Fibonacci sequence are known as Fibonacci numbers, commonly denoted Fn . The sequence commonly starts from 0 and 1, although some authors start the sequence from 1 and 1 or sometimes ...

  7. Geometric progression - Wikipedia

    en.wikipedia.org/wiki/Geometric_progression

    The first block is a unit block and the dashed line represents the infinite sum of the sequence, a number that it will forever approach but never touch: 2, 3/2, and 4/3 respectively. A geometric progression, also known as a geometric sequence, is a mathematical sequence of non-zero numbers where each term after the first is found by multiplying ...

  8. Harmonic progression (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Harmonic_progression...

    The first ten members of the harmonic sequence . In mathematics, a harmonic progression (or harmonic sequence) is a progression formed by taking the reciprocals of an arithmetic progression . Equivalently, a sequence is a harmonic progression when each term is the harmonic mean of the neighboring terms. As a third equivalent characterization ...

  9. Generating function - Wikipedia

    en.wikipedia.org/wiki/Generating_function

    In mathematics, a generating function is a representation of an infinite sequence of numbers as the coefficients of a formal power series. Unlike an ordinary series, the formal power series is not required to converge: in fact, the generating function is not actually regarded as a function, and the "variable" remains an indeterminate.

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