a binomial sum.

[pin]

A fair question.  In actuality it is an accidental discovery.  I was trying to prove a limit, and I made a simplification that later turned out to be wrong.  What resulted was that formula.  In attempting to simplify it further I was looking at the sequence it generates.  I don't know of any applications.

This is partially why I have not submitted it yet!  My rule of thumb for submissions is that if I create the sequence then I must have used it to some end.

Is this sequence interesting enough to warrant a submission?

-Francois.




 --- On Tue 04/20, Henry Gould < gould at math.wvu.edu > wrote:
From: Henry Gould [mailto: gould at math.wvu.edu]
To: pin at myway.com
     Cc: seqfan at ext.jussieu.fr
Date: Tue, 20 Apr 2004 18:20:31 -0400
Subject: Re: a binomial sum.

Now that we have been from A = B to Y = Z about "closed formulas", I want to<br>ask pin why he is interested in the sequence 1, -1, 7, -21, 81, -295, 1107,<br>-4165, 15793, -60171, 230253, -884235, 3406105, -13154947, 50922987,<br>-197519941, 767502945, -2987013067, 11641557717, -45429853651, 177490745985,<br>...,<br>in the first place. Why is this an interesting sequence? Has it any<br>interesting applications?<br>Henry W. Gould<br>

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