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  2. Factorial - Wikipedia

    en.wikipedia.org/wiki/Factorial

    2.1 Factorial of zero. 3 Applications. ... 12: 479 001 600: 13: 6 227 020 800: 14: ... , is the product of all positive integers less than or equal to ...

  3. Factorial experiment - Wikipedia

    en.wikipedia.org/wiki/Factorial_experiment

    The interaction of two factors with s 1 and s 2 levels, respectively, has (s 11)(s 21) degrees of freedom. The formula for more than two factors follows this pattern. In the 2 × 3 example above, the degrees of freedom for the two main effects and the interaction — the number of columns for each — are 1, 2 and 2, respectively.

  4. Table of prime factors - Wikipedia

    en.wikipedia.org/wiki/Table_of_prime_factors

    An even number has the prime factor 2. The first: 2, 4, 6, 8, 10, 12, 14, 16 ... sequence A002110 in the OEIS). 1# = 1 is sometimes included. A factorial x! is the ...

  5. List of integer sequences - Wikipedia

    en.wikipedia.org/wiki/List_of_integer_sequences

    Name First elements Short description OEIS Mersenne prime exponents : 2, 3, 5, 7, 13, 17, 19, 31, 61, 89, ... Primes p such that 2 p − 1 is prime.: A000043 ...

  6. Stirling's approximation - Wikipedia

    en.wikipedia.org/wiki/Stirling's_approximation

    [1] [2] [3] One way of stating the approximation involves the logarithm of the factorial: ⁡ (!) = ⁡ + (⁡), where the big O notation means that, for all sufficiently large values of , the difference between ⁡ (!

  7. Factorial number system - Wikipedia

    en.wikipedia.org/wiki/Factorial_number_system

    For arbitrarily greater numbers one has to choose a base for representing individual digits, say decimal, and provide a separating mark between them (for instance by subscripting each digit by its base, also given in decimal, like 2 4 0 3 1 2 0 1, this number also can be written as 2:0:1:0!). In fact the factorial number system itself is not ...

  8. Double factorial - Wikipedia

    en.wikipedia.org/wiki/Double_factorial

    Stirling permutations, permutations of the multiset of numbers 1, 1, 2, 2, ..., k, k in which each pair of equal numbers is separated only by larger numbers, where k = ⁠ n + 1 / 2 ⁠. The two copies of k must be adjacent; removing them from the permutation leaves a permutation in which the maximum element is k − 1 , with n positions into ...

  9. Factorion - Wikipedia

    en.wikipedia.org/wiki/Factorion

    In number theory, a factorion in a given number base is a natural number that equals the sum of the factorials of its digits. [ 1 ] [ 2 ] [ 3 ] The name factorion was coined by the author Clifford A. Pickover .