I was curious about the general Faulhaber's formula which states according to wiki

where

Unfortunately, I don't understand . Is that a vector?

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- Aug 28th 2012, 11:31 AMdatanewbHelp understanding the notation in Faulhaber's formula
I was curious about the general Faulhaber's formula which states according to wiki

where

Unfortunately, I don't understand . Is that a vector? - Aug 28th 2012, 12:02 PMPlatoRe: Help understanding the notation in Faulhaber's formula
- Aug 28th 2012, 12:10 PMGJARe: Help understanding the notation in Faulhaber's formula
Hi, datanewb.

The term you're asking about is read 'p+1 choose j.' If you've ever learned about permutations and combinations before, it's a combination - specifically how many ways can you pick j things from a pile containing p+1 things if order does NOT matter.

For example, consider the collection {a,b,c}. If we wanted to know how many different ways we could pick 2 things from this set it would be .

The exact formula is given by

If you want to know where the formula comes from let me know. Does this answer your question? Let me know.

Good luck! - Aug 28th 2012, 12:24 PMdatanewbRe: Help understanding the notation in Faulhaber's formula
Thank you both: Plato for you quick response and GJA for adding those excellent details. Knowing how to pronounce n choose k was very helpful, as well as it's application. I am curious where it comes from. You've already been extremely helpful! I will read up on the binomial coefficient, but if you have a good explanation, that wouldn't take too long to write, I'd appreciate hearing that as well, @GJA.

Thank you again.

- Aug 28th 2012, 12:32 PMPlatoRe: Help understanding the notation in Faulhaber's formula
- Aug 28th 2012, 01:02 PMdatanewbRe: Help understanding the notation in Faulhaber's formula
Thanks, yes, that's the page I am reading. More than enough information there. :)