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  2. Double factorial - Wikipedia

    en.wikipedia.org/wiki/Double_factorial

    These are counted by the double factorial 15 = (6 − 1)‼. In mathematics, the double factorial of a number n, denoted by n‼, is the product of all the positive integers up to n that have the same parity (odd or even) as n. [1] That is,

  3. List of integrals of Gaussian functions - Wikipedia

    en.wikipedia.org/wiki/List_of_integrals_of...

    In the previous two integrals, n!! is the double factorial: for even n it is equal to the product of all even numbers from 2 to n, and for odd n it is the product of all odd numbers from 1 to n; additionally it is assumed that 0!! = (−1)!! = 1.

  4. Eulerian number - Wikipedia

    en.wikipedia.org/wiki/Eulerian_number

    The permutations of the multiset {,,,, …,,} which have the property that for each k, all the numbers appearing between the two occurrences of k in the permutation are greater than k are counted by the double factorial number ()!!.

  5. Factorion - Wikipedia

    en.wikipedia.org/wiki/Factorion

    Let be a natural number. For a base >, we define the sum of the factorials of the digits [5] [6] of , :, to be the following: ⁡ = =!. where = ⌊ ⁡ ⌋ + is the number of digits in the number in base , ! is the factorial of and

  6. Son Dead, Mother in Critical Condition After Home Invasion in ...

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    A home invasion in an upscale Philadelphia suburb turned fatal over the weekend after a suspect broke into a home in Lower Merion Township at 2:20 a.m. on Sunday, Dec. 8, the Montgomery County ...

  7. Factorial - Wikipedia

    en.wikipedia.org/wiki/Factorial

    In mathematics, the factorial of a non-negative integer, denoted by !, is the product of all positive integers less than or equal to . The factorial of also equals the product of with the next smaller factorial: ! = () = ()! For example, ! =! = =

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