In Brocard's problem, one must find values for which this plus one is equal to a square number. The Pochhammer symbol is used to denote its "rising" variety, which is equal to the gamma function of x + n divided by the gamma function of x. The gamma function of n + 1, in turn, is equal to this for integers greater than or equal to zero, and Stirling's approximation is used
In Brocard's problem, one must find values for which this plus one is equal to a square number. The Pochhammer symbol is used to denote its "rising" variety, which is equal to the gamma function of x + n divided by the gamma function of x. The gamma function of n + 1, in turn, is equal to this for integers greater than or equal to zero, and Stirling's approximation is used to calculate it for very large numbers. For 10 points, name this mathematical construct used in calculating combinations and permutations, the product of all positive integers less than or equal to a given number, which is symbolized by an exclamation point.
In Brocard's problem, one must find values for which this plus one is equal to a square number.
{factorial} [accept “n-factorial” and such]