# scipy.special.factorialk

scipy.special.factorialk(n, k, exact=True)

  Multifactorial of n of order k, n(!!…!).

  This is the multifactorial of n skipping k values. For example,

  > factorialk(17, 4) = 17!!!! = 17 * 13 * 9 * 5 * 1

  In particular, for any integer `n`, we have

  > factorialk(n, 1) = factorial(n)

  > factorialk(n, 2) = factorial2(n)

  Parameters:
    n int or array_like

      Calculate multifactorial. If n < 0, the return value is 0.

    k int

      Order of multifactorial.

    exact bool, optional

      If exact is set to True, calculate the answer exactly using integer arithmetic.

  Returns:
    val int

      Multifactorial of n.

  Raises:
    NotImplementedError

      Raises when exact is False

  Examples

      >>> from scipy.special import factorialk
      >>> factorialk(5, 1, exact=True)
      120
      >>> factorialk(5, 3, exact=True)
      10