The Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Math Forum » Discussions » sci.math.* » sci.math.symbolic

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: To Martin (
Replies: 0  

Advanced Search

Back to Topic List Back to Topic List

Posts: 104
Registered: 9/4/08
To Martin (
Posted: Aug 15, 2010 9:02 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Dear Martin,

In 2009 based on results obtained by Stephen Lucas's
"Integral approximations to Pi with non-negative integrands"
I made the following generalizing conjecture
There are exists some integer functions of n, namely
i(n), k(n), l(n) and m(n) ,
where i(n) function appears to represent the various powers of 2,
while l(n) is an integer, which is power 2 factor free (except for
trivial power of 0)

such so there exists general integral identity (using Maple's

Pi= A002485(n)/A002486(n)-1/(i*l)*Int(x^m*(1-x)^m*(k+(k+l)*x^2)/
= 0..1)
I was able to confirm above for non-trivial cases of n=2, 3, 4, 5, 6
but don't have computational resources to check whether my conjecture
stays true for
I wrote in 2009 to S. Lucas asking for help but he was not interested
and suggested that I pursue it on my own.

Could Derive help to solve my problem ?

Best Regards,
Alexander R. Povolotsky

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.