Timeline for Interpolating a sum of binomial coefficients using a sin function

12 events

when toggle format	what		by	license	comment
Sep 5, 2013 at 16:08	history	edited	Pietro Majer	CC BY-SA 3.0	edited body
Oct 16, 2012 at 10:38	comment	added	Stefano Capparelli		Thanks a lot. I really enjoyed your solution. Grazie mille.
Oct 16, 2012 at 10:28	vote	accept	Stefano Capparelli
Oct 16, 2012 at 10:27	vote	accept	Stefano Capparelli
Oct 16, 2012 at 10:28
Oct 12, 2012 at 15:34	history	edited	Pietro Majer	CC BY-SA 3.0	added 242 characters in body
Oct 12, 2012 at 13:57	history	edited	Pietro Majer	CC BY-SA 3.0	deleted 5 characters in body
Oct 12, 2012 at 13:56	comment	added	Pietro Majer		Yes, sorry, I was in a big hurry and I was taken by some sudden silly doubt. Checking now the details, there were no problem at all, so I roll back to the first version. The identities for the sums are easily proven by induction, and contain a partial product of the infinite product for $\sin(\pi x)/\pi x$.
Oct 12, 2012 at 13:47	history	edited	Pietro Majer	CC BY-SA 3.0	added 2 characters in body
Oct 11, 2012 at 17:34	comment	added	Matt Young		The sums are polynomials in $x$ so if they agree on the integers then they are equal everywhere. I personally don't see how Maple is computing the sums, but that's another story.
Oct 11, 2012 at 15:34	history	edited	Pietro Majer	CC BY-SA 3.0	added 126 characters in body
Oct 11, 2012 at 15:17	comment	added	Pietro Majer		mmmh, wait, actually evaluating the sums I assumed x to be an integer! so I'm not sure of the result.
Oct 11, 2012 at 14:32	history	answered	Pietro Majer	CC BY-SA 3.0