[seqfan] Sum, Product, and subscript formula syntax (was Re: Formula in A060294.)

Robert Munafo mrob27 at gmail.com
Mon Mar 25 11:12:06 CET 2013


I don't really mind having different formats because I understand both, but
I'm curious: Which of these is the more correct format for subscripts, or
specifically for sum and product, in an OEIS formula entry:

"Human-readable":  e = sum (k = 0 .. infinity) 1/k!

or "TeX-like subscript notation":  e = sum_{k=0,1,...} 1/k!

I ask because I noticed that http://oeis.org/A060294 includes examples of
both forms:

2/Pi = product (n = 2 .. infinity) (p(n) + 2 - (p(n) mod 4))/p(n), where
> p(n) is the n-th prime


> 2/Pi = sum_{k=0,1,...} ((2*k)!/(k!)^2)^3*((42*k+5)/(2^{12*k+3}))



On Sat, Mar 23, 2013 at 8:36 PM, Paul D Hanna <pauldhanna at juno.com> wrote:

> Here is the correction to the poorly written formula:
> 2/Pi = 1 - 5(1/2)^3 + 9((1*3)/(2*4))^3 - 13((1*3*5)/(2*4*6))^3 ...
>  That is,
> 2/Pi = Sum_{n>0} (-1)^n * (4*n+1) * Product_{k=1..n} (2*k-1)^3/(2*k)^3.
>     Paul
>

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