Factorial, but with addition - Mathematics Stack Exchange
Apr 21, 2015 · Is there a notation for addition form of factorial? $$5! = 5\times4\times3\times2\times1$$ That's pretty obvious. But I'm wondering what I'd need to use to describe. $$5+4+3+2+1$$ like the factorial $5!$ way. EDIT: I know about the formula. I want to know if there's a short notation.
What is the term for a factorial type operation, but with …
He describes it precisely for the purpose of contrasting with the factorial function, and the name seems to be a play on words (term-inal rather than factor-ial). I was suspicious that he would give such prominence to such an elementary bit of mathematics, but it makes sense in the name of pedagogy. $\endgroup$
What do you call a factorial, but with addition instead of ...
Aug 28, 2020 · In addition to what u/armedt said, these are called triangular numbers. The nth triangular number is n(n+1)/2. The nth triangular number is n(n+1)/2. This also happens to be the binomial coefficient representing the number of ways to choose pairs of objects from a …
Is there a Sum Factorial? - Mathematics Stack Exchange
Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
For a math question. Is there a factorial but for addition?
Is there a factorial but for addition? So 4! is 24 but is there something similar so you just add 4,3,2,1?
What are some other ways to compute the factorials using …
Jul 1, 2017 · The Tooth Fairy told me a fortnight ago that there is also a way to compute the factorial of a given number using additions only without knowing the answer beforehand (that is, unlike the method shown above). I've tried adding up triangular numbers in various different ways and have come up empty.
Can the factorial function be written as a sum?
Jul 25, 2013 · In this paper we give an additive representation of the factorial, which can be proven by a simple quick analytical argument. We also present some generalizations, which are linked, on the one hand to an arithmetical theorem proven by Euler (decomposition of primes as the sum of two squares), and, on the other hand, to modern combinatorics ...
'Plus' Operator analog of the factorial function? [duplicate]
What is the term for a factorial type operation, but with summation instead of products? Is there a similar function for the addition operator as there is the factorial function for the multiplication operator? For factorials it is 5! = 5*4*3*2*1, is there a function that would do 5+4+3+2+1? Thanks,
What is the Additive or Subtractive equivalent of a factorial?
Mar 20, 2014 · The "additive factorials" are called triangular numbers, a simpler notation would be to write it as the binomial coefficient (see the Wikipedia page for the notation), this binomial coefficient roughly translates to "the number of ways to pick 2 objects from a set of n+1 objects", it might be a fun thing to prove that this is in fact equal to the "additive factorial".
Manipulating a factorial involving multiplication and addition
Apr 6, 2019 · I'm currently working on this problem which includes adding and multiplying (and probably factoring) factorials: $(k+1)!-1+(k+1)(k+1)!=(k+2)!-1$ I need to make the left hand side equal to the right