How I Need a Drink, Alcoholic Of Course, After the Heavy Lectures Involving ... (Videotaped lecture)
By Doron Zeilberger
Delivered March 14, 2013.
Part1
Part2
[This lecture was delivered on 3/14 (aka Pi Day), 2013 at the Rutgers University Experimental Mathematics Seminar]
Acknowledgement: The video was filmed by Brian Nakamura and
edited and uploaded by Edinah Gnang
Maple package
This talk is accompanied by
that studies various aspects of Pi.
Sample Input and Output Files
-
If you want to see the first 1000 digits of Pi in all bases from 2 to 100, and the
list of "first occurrences of 0"
the
input file yields the
output file
-
If you want to see the first 1000 terms of the sequence of rational numbers that approximate Pi
coming from the fact that the
int(x^(4*n)*(1-x)^(4*n),x=0..1);
is very small and can be expressed as A+B*Pi for some rational numbers A and B, then
the
input file yields the
output file
-
If you want to see the first 1000 terms of the sequence of rational numbers that approximate Pi
that come from the fact that the ratio Andre(n)/(n*Andre(n-1)) is very close to Pi/2
where Andre(n) is the number of up-down (aka zigzag) permutations,
the
input file yields the
output file
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