Well, you caught us... there is no bottom to Pascal's
Triangle; it is an infinite array. More than just an infinite set
of numbers, there seems to be no limit to the uses of the binomial coefficients.
While we want to make this the definitive website on Pascal's Triangle,
no one person knows everything about it. And that's where you come
in.
If you have some tidbit of information about the binomial
coefficients, send us
an e-mail; whether it's an identity we've missed, or a better
proof to one of our identities, or some application or historical information
not found here, or a correction of an error (of which there have been more
than a few) we'll be glad to put your stuff on our site and give you credit
both at the point where the new info is inserted, and on our contributor
list. The 10 most recent contributors see their names on the front
page of the website, while a separate page is dedicated to listing all the
contributors.
The great Donald Knuth once wrote: "There are so many
relations present that when someone finds a new identity, there aren't
many people who get excited about it anymore, except the discoverer!"
While we are loath to contradict Prof. Knuth, if you send us a new
identity, we promise to be excited about it, too.
