Register to reply 
Curious if this function is called anything. 
Share this thread: 
#1
Dec2413, 12:09 PM

P: 82

Hey everyone, I was just playing around with factorial expansion and after grouping some terms I noticed a pattern for which I made a function. I am happy to provide more details as needed, but for now I have attached an image of the function and am curious, as per the title, whether this is known and if so if it has a name and/or interesting properties. I forgot to put this on the image but I was only considering positive naturals for a and n when defining the function.
Thanks! 


#2
Dec2413, 12:51 PM

P: 82

Sorry, I should've posted this after working out the kinks. The an1, an2 part should be a(n1), a(n2), ... and k_n=n1 should be k_n=n.



#3
Dec2413, 01:49 PM

PF Gold
P: 4,262

I don't know, but I think it could be simplified with pi notation:
http://en.wikipedia.org/wiki/Multipl...al_Pi_notation 


#4
Dec3013, 03:08 PM

P: 82

Curious if this function is called anything.
Actually, I figured out that these are (unsigned) Stirling numbers of the first kind (save where n=0), with 'a' being the rows of its pyramid, and 'n' being the column in each row. Ironic that I called the function S. I attached a simpler (and more accurate) version for anyone interested.



Register to reply 
Related Discussions  
Why is the first type bessel function called first?  Quantum Physics  1  
Integrating a curious function  Calculus & Beyond Homework  5  
How is it called this function ?  Linear & Abstract Algebra  4  
People have actually clicked the part in my sig  General Discussion  11  
A curious function in quantum gravity  Beyond the Standard Model  3 