Define the triple factorial, - Mathematics Stack Exchange
2019年12月27日 · Now, this is great for when you're working with (primarily) positive integers, but I'm curious how you'd go about extending the definition such that it will be valid for all real and …
What is the triple factorial of a negative number, e.g., $-2$?
The triple factorial of a positive integer is computed as $7!!! = 7\cdot 4\cdot 1$. I'm interested in the value of $$(-2)!!!$$ I tried to find this value by using the Wolfram, but I found the Wolfram …
Multi-Factorial and Series with Triple-factorial terms
All we have to go on is the recursive definition of factorial. Somehow we need to relate a to this recursion. Looking at a shows it relates factorial[3n,3] to factorial[3n+1,3], whereas the …
Asymptotic Approximations for Higher-Order Factorials (e.g. triple ...
2023年2月22日 · However, I was unable to find an asymptotic approximation for $\frac{(3n)!!!}{(3n-1)!!!}$ since triple factorials are much more difficult to work with. I used the …
probability - Triple factorial in terms of simple factorial ...
2023年10月16日 · From here we can get for odd numbers $(2k-1)$: $$(2k-1)!!=\dfrac{(2k)!}{2^k k!}.$$ Then we can express double factorial in terms of simple factorials and powers of $2$. I …
sequences and series - Notation for factorial-type pattern with a …
Analogously, one could define functions like primorial, triple factorial, quadruple factorials and so on. For a more extended note on this kind of definitions, please follow this link. Share
factorial - In layman's terms, what is a multifactorial? - $x ...
2015年11月26日 · My first impression was that given a multifactorial expression, one was to factorial the first term, then factorial that term, then factorial that term, etc. etc. So, $20!! = …
Integral of factorial function - Mathematics Stack Exchange
2022年12月19日 · Integral of factorial function. Ask Question Asked 10 years, 5 months ago. Modified 1 year, 11 months ago.
combinations - Relation connecting $ (3n)!$, $3^n$ and $n ...
2022年6月23日 · $\begingroup$ Triple factorial on both $3n-1$ and $3n-2 ... Double Factorial expression in terms of ...
Negative factorials and the creation of math functions
2015年11月17日 · The negative factorial of an even number is positive and the negative factorial of an odd number is negative (assuming the number is negative to begin with). If you take a …